Question

What is the LCM of 4 and 2

Answer 1

Answer:

its lcm(4, 2) = 4

Prime factorization of 2 and 4 is (2) = 21 and (2 × 2) = 22 respectively. LCM of 2 and 4 can be obtained by multiplying prime factors raised to their respective highest power, i.e. 22 = 4.

Hence, the LCM of 2 and 4 by prime factorization is 4.

To calculate the LCM of 2 and 4 by listing out the common multiples, we can follow the given below steps:

Step 1: List a few multiples of 2 (2, 4, 6, 8, 10, . . . ) and 4 (4, 8, 12, 16, . . . . )

Step 2: The common multiples from the multiples of 2 and 4 are 4, 8, . . .

Step 3: The smallest common multiple of 2 and 4 is 4.

∴ The least common multiple of 2 and 4 = 4.