GCF and LCM Calculator Logo

What is the Least Common Multiple of 4964 and 4972?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 4964 and 4972 is 6170252.

LCM(4964,4972) = 6170252

LCM Calculator and
and

Least Common Multiple of 4964 and 4972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4964 and 4972, than apply into the LCM equation.

GCF(4964,4972) = 4
LCM(4964,4972) = ( 4964 × 4972) / 4
LCM(4964,4972) = 24681008 / 4
LCM(4964,4972) = 6170252

Least Common Multiple (LCM) of 4964 and 4972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4964 and 4972. First we will calculate the prime factors of 4964 and 4972.

Prime Factorization of 4964

Prime factors of 4964 are 2, 17, 73. Prime factorization of 4964 in exponential form is:

4964 = 22 × 171 × 731

Prime Factorization of 4972

Prime factors of 4972 are 2, 11, 113. Prime factorization of 4972 in exponential form is:

4972 = 22 × 111 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 4964 and 4972.

LCM(4964,4972) = 22 × 171 × 731 × 111 × 1131
LCM(4964,4972) = 6170252