What is the Least Common Multiple of 94496 and 94515?

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 94496 and 94515 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94496 and 94515, than apply into the LCM equation.

GCF(94496,94515) = 1
LCM(94496,94515) = ( 94496 × 94515) / 1
LCM(94496,94515) = 8931289440 / 1
LCM(94496,94515) = 8931289440

Least Common Multiple (LCM) of 94496 and 94515 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94496 and 94515. First we will calculate the prime factors of 94496 and 94515.

Prime Factorization of 94496

Prime Factorization of 94515

Now multiplying the highest exponent prime factors to calculate the LCM of 94496 and 94515.

LCM(94496,94515) = 2⁵ × 2953¹ × 3¹ × 5¹ × 6301¹
LCM(94496,94515) = 8931289440