LCM of 11 and 33

LCM of 11 and 33 is the smallest number among all common multiples of 11 and 33. The first few multiples of 11 and 33 are (11, 22, 33, 44, 55, 66, 77, . . . ) and (33, 66, 99, 132, . . . ) respectively. There are 3 commonly used methods to find LCM of 11 and 33 - by prime factorization, by listing multiples, and by division method.

Answer: LCM of 11 and 33 is 33.

Explanation:

The LCM of two non-zero integers, x(11) and y(33), is the smallest positive integer m(33) that is divisible by both x(11) and y(33) without any remainder.

Let's look at the different methods for finding the LCM of 11 and 33.

• By Division Method
• By Prime Factorization Method
• By Listing Multiples

LCM of 11 and 33 by Division Method

To calculate the LCM of 11 and 33 by the division method, we will divide the numbers(11, 33) by their prime factors (preferably common). The product of these divisors gives the LCM of 11 and 33.

• Step 1: Find the smallest prime number that is a factor of at least one of the numbers, 11 and 33. Write this prime number(3) on the left of the given numbers(11 and 33), separated as per the ladder arrangement.
• Step 2: If any of the given numbers (11, 33) is a multiple of 3, divide it by 3 and write the quotient below it. Bring down any number that is not divisible by the prime number.
• Step 3: Continue the steps until only 1s are left in the last row.

The LCM of 11 and 33 is the product of all prime numbers on the left, i.e. LCM(11, 33) by division method = 3 × 11 = 33.

LCM of 11 and 33 by Prime Factorization

Prime factorization of 11 and 33 is (11) = 11¹ and (3 × 11) = 3¹ × 11¹ respectively. LCM of 11 and 33 can be obtained by multiplying prime factors raised to their respective highest power, i.e. 3¹ × 11¹ = 33.
Hence, the LCM of 11 and 33 by prime factorization is 33.

LCM of 11 and 33 by Listing Multiples

To calculate the LCM of 11 and 33 by listing out the common multiples, we can follow the given below steps:

• Step 1: List a few multiples of 11 (11, 22, 33, 44, 55, 66, 77, . . . ) and 33 (33, 66, 99, 132, . . . . )
• Step 2: The common multiples from the multiples of 11 and 33 are 33, 66, . . .
• Step 3: The smallest common multiple of 11 and 33 is 33.

∴ The least common multiple of 11 and 33 = 33.

☛ Also Check:

• LCM of 207 and 138 - 414
• LCM of 200 and 300 - 600
• LCM of 20 and 60 - 60
• LCM of 20 and 50 - 100
• LCM of 20 and 45 - 180
• LCM of 20 and 36 - 180
• LCM of 20 and 32 - 160

FAQs on LCM of 11 and 33

What is the LCM of 11 and 33?

The LCM of 11 and 33 is 33. To find the LCM of 11 and 33, we need to find the multiples of 11 and 33 (multiples of 11 = 11, 22, 33, 44; multiples of 33 = 33, 66, 99, 132) and choose the smallest multiple that is exactly divisible by 11 and 33, i.e., 33.

Which of the following is the LCM of 11 and 33? 40, 3, 33, 16

The value of LCM of 11, 33 is the smallest common multiple of 11 and 33. The number satisfying the given condition is 33.

If the LCM of 33 and 11 is 33, Find its GCF.

LCM(33, 11) × GCF(33, 11) = 33 × 11
Since the LCM of 33 and 11 = 33
⇒ 33 × GCF(33, 11) = 363
Therefore, the GCF = 363/33 = 11.

What are the Methods to Find LCM of 11 and 33?

The commonly used methods to find the LCM of 11 and 33 are:

• Division Method
• Listing Multiples
• Prime Factorization Method

What is the Least Perfect Square Divisible by 11 and 33?

The least number divisible by 11 and 33 = LCM(11, 33)
LCM of 11 and 33 = 3 × 11 [Incomplete pair(s): 3, 11]
⇒ Least perfect square divisible by each 11 and 33 = LCM(11, 33) × 3 × 11 = 1089 [Square root of 1089 = √1089 = ±33]
Therefore, 1089 is the required number.