What is the Least Common Multiple of 94624 and 94641?

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 94624 and 94641 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94624 and 94641, than apply into the LCM equation.

GCF(94624,94641) = 1
LCM(94624,94641) = ( 94624 × 94641) / 1
LCM(94624,94641) = 8955309984 / 1
LCM(94624,94641) = 8955309984

Least Common Multiple (LCM) of 94624 and 94641 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94624 and 94641. First we will calculate the prime factors of 94624 and 94641.

Prime Factorization of 94624

Prime Factorization of 94641

Now multiplying the highest exponent prime factors to calculate the LCM of 94624 and 94641.

LCM(94624,94641) = 2⁵ × 2957¹ × 3¹ × 31547¹
LCM(94624,94641) = 8955309984