What is the Least Common Multiple of 94608 and 94624?

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 94608 and 94624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94608 and 94624, than apply into the LCM equation.

GCF(94608,94624) = 16
LCM(94608,94624) = ( 94608 × 94624) / 16
LCM(94608,94624) = 8952187392 / 16
LCM(94608,94624) = 559511712

Least Common Multiple (LCM) of 94608 and 94624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94608 and 94624. First we will calculate the prime factors of 94608 and 94624.

Prime Factorization of 94608

Prime Factorization of 94624

Now multiplying the highest exponent prime factors to calculate the LCM of 94608 and 94624.

LCM(94608,94624) = 2⁵ × 3⁴ × 73¹ × 2957¹
LCM(94608,94624) = 559511712