What is the Least Common Multiple of 94432 and 94437?

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 94432 and 94437 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94432 and 94437, than apply into the LCM equation.

GCF(94432,94437) = 1
LCM(94432,94437) = ( 94432 × 94437) / 1
LCM(94432,94437) = 8917874784 / 1
LCM(94432,94437) = 8917874784

Least Common Multiple (LCM) of 94432 and 94437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94432 and 94437. First we will calculate the prime factors of 94432 and 94437.

Prime Factorization of 94432

Prime Factorization of 94437

Now multiplying the highest exponent prime factors to calculate the LCM of 94432 and 94437.

LCM(94432,94437) = 2⁵ × 13¹ × 227¹ × 3² × 7¹ × 1499¹
LCM(94432,94437) = 8917874784