LCM of 1 and 2

LCM of 1 and 2 is the smallest number among all common multiples of 1 and 2. The first few multiples of 1 and 2 are (1, 2, 3, 4, 5, 6, 7, . . . ) and (2, 4, 6, 8, 10, . . . ) respectively. There are 2 commonly used methods to find LCM of 1 and 2 - by division method, and by listing multiples.

Answer: LCM of 1 and 2 is 2.

Explanation:

The LCM of two non-zero integers, x(1) and y(2), is the smallest positive integer m(2) that is divisible by both x(1) and y(2) without any remainder.

The methods to find the LCM of 1 and 2 are explained below.

• By Division Method
• By Listing Multiples

LCM of 1 and 2 by Division Method

To calculate the LCM of 1 and 2 by the division method, we will divide the numbers(1, 2) by their prime factors, as long as at least one of the numbers is evenly divisible by a prime number. The product of these divisors gives the LCM of 1 and 2.

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

Therefore, LCM of 1 and 2 by division method is given as, LCM(1, 2) = 2.

LCM of 1 and 2 by Listing Multiples

To calculate the LCM of 1 and 2 by listing out the common multiples, we can follow the given below steps:

• Step 1: List a few multiples of 1 (1, 2, 3, 4, 5, 6, 7, . . . ) and 2 (2, 4, 6, 8, 10, . . . )
• Step 2: The common multiples from the multiples of 1 and 2 are 2, 4, . . .
• Step 3: The smallest common multiple of 1 and 2 is 2.

∴ The least common multiple of 1 and 2 = 2.

☛ Also Check:

• LCM of 9 and 27 - 27
• LCM of 9 and 24 - 72
• LCM of 9 and 21 - 63
• LCM of 9 and 18 - 18
• LCM of 9 and 16 - 144
• LCM of 9 and 15 - 45
• LCM of 9 and 14 - 126

FAQs on LCM of 1 and 2

What is the LCM of 1 and 2?

The LCM of 1 and 2 is 2. To find the least common multiple of 1 and 2, we need to find the multiples of 1 and 2 (multiples of 1 = 1, 2, 3, 4, . . .; multiples of 2 = 2, 4, 6, 8, . . .) and choose the smallest multiple that is exactly divisible by 1 and 2, i.e., 2.

What are the Methods to Find LCM of 1 and 2?

The commonly used methods to find the LCM of 1 and 2 are:

• Division Method
• Listing Multiples

If the LCM of 2 and 1 is 2, Find its GCF.

LCM(2, 1) × GCF(2, 1) = 2 × 1
Since the LCM of 2 and 1 = 2
⇒ 2 × GCF(2, 1) = 2
Therefore, the GCF (greatest common factor) = 2/2 = 1.

What is the Relation Between GCF and LCM of 1, 2?

The following equation can be used to express the relation between GCF and LCM of 1 and 2, i.e. GCF × LCM = 1 × 2.

Which of the following is the LCM of 1 and 2? 24, 20, 2, 5

The value of LCM of 1, 2 is the smallest common multiple of 1 and 2. The number satisfying the given condition is 2.