What is the Least Common Multiple of 964 and 972?

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 of 964 and 972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 964 and 972, than apply into the LCM equation.

GCF(964,972) = 4
LCM(964,972) = ( 964 × 972) / 4
LCM(964,972) = 937008 / 4
LCM(964,972) = 234252

Least Common Multiple (LCM) of 964 and 972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 964 and 972. First we will calculate the prime factors of 964 and 972.

Prime Factorization of 964

Prime Factorization of 972

Now multiplying the highest exponent prime factors to calculate the LCM of 964 and 972.

LCM(964,972) = 2² × 241¹ × 3⁵
LCM(964,972) = 234252