What is the Least Common Multiple of 94656 and 94675?

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 94656 and 94675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94656 and 94675, than apply into the LCM equation.

GCF(94656,94675) = 1
LCM(94656,94675) = ( 94656 × 94675) / 1
LCM(94656,94675) = 8961556800 / 1
LCM(94656,94675) = 8961556800

Least Common Multiple (LCM) of 94656 and 94675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94656 and 94675. First we will calculate the prime factors of 94656 and 94675.

Prime Factorization of 94656

Prime Factorization of 94675

Now multiplying the highest exponent prime factors to calculate the LCM of 94656 and 94675.

LCM(94656,94675) = 2⁶ × 3¹ × 17¹ × 29¹ × 5² × 7¹ × 541¹
LCM(94656,94675) = 8961556800