What is the Least Common Multiple of 94992 and 95008?

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 94992 and 95008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94992 and 95008, than apply into the LCM equation.

GCF(94992,95008) = 16
LCM(94992,95008) = ( 94992 × 95008) / 16
LCM(94992,95008) = 9024999936 / 16
LCM(94992,95008) = 564062496

Least Common Multiple (LCM) of 94992 and 95008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94992 and 95008. First we will calculate the prime factors of 94992 and 95008.

Prime Factorization of 94992

Prime Factorization of 95008

Now multiplying the highest exponent prime factors to calculate the LCM of 94992 and 95008.

LCM(94992,95008) = 2⁵ × 3¹ × 1979¹ × 2969¹
LCM(94992,95008) = 564062496