What is the Least Common Multiple of 94624 and 94629?

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 94629 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 94629, than apply into the LCM equation.

GCF(94624,94629) = 1
LCM(94624,94629) = ( 94624 × 94629) / 1
LCM(94624,94629) = 8954174496 / 1
LCM(94624,94629) = 8954174496

Least Common Multiple (LCM) of 94624 and 94629 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94624 and 94629. First we will calculate the prime factors of 94624 and 94629.

Prime Factorization of 94624

Prime Factorization of 94629

Now multiplying the highest exponent prime factors to calculate the LCM of 94624 and 94629.

LCM(94624,94629) = 2⁵ × 2957¹ × 3¹ × 31543¹
LCM(94624,94629) = 8954174496