What is the Least Common Multiple of 94976 and 94992?

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 94976 and 94992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94976 and 94992, than apply into the LCM equation.

GCF(94976,94992) = 16
LCM(94976,94992) = ( 94976 × 94992) / 16
LCM(94976,94992) = 9021960192 / 16
LCM(94976,94992) = 563872512

Least Common Multiple (LCM) of 94976 and 94992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94976 and 94992. First we will calculate the prime factors of 94976 and 94992.

Prime Factorization of 94976

Prime Factorization of 94992

Now multiplying the highest exponent prime factors to calculate the LCM of 94976 and 94992.

LCM(94976,94992) = 2⁸ × 7¹ × 53¹ × 3¹ × 1979¹
LCM(94976,94992) = 563872512