What is the Least Common Multiple of 8952 and 8964?

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 8952 and 8964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8952 and 8964, than apply into the LCM equation.

GCF(8952,8964) = 12
LCM(8952,8964) = ( 8952 × 8964) / 12
LCM(8952,8964) = 80245728 / 12
LCM(8952,8964) = 6687144

Least Common Multiple (LCM) of 8952 and 8964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8952 and 8964. First we will calculate the prime factors of 8952 and 8964.

Prime Factorization of 8952

Prime Factorization of 8964

Now multiplying the highest exponent prime factors to calculate the LCM of 8952 and 8964.

LCM(8952,8964) = 2³ × 3³ × 373¹ × 83¹
LCM(8952,8964) = 6687144