What is the Least Common Multiple of 94728 and 94741?

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 94728 and 94741 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94728 and 94741, than apply into the LCM equation.

GCF(94728,94741) = 1
LCM(94728,94741) = ( 94728 × 94741) / 1
LCM(94728,94741) = 8974625448 / 1
LCM(94728,94741) = 8974625448

Least Common Multiple (LCM) of 94728 and 94741 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94728 and 94741. First we will calculate the prime factors of 94728 and 94741.

Prime Factorization of 94728

Prime Factorization of 94741

Now multiplying the highest exponent prime factors to calculate the LCM of 94728 and 94741.

LCM(94728,94741) = 2³ × 3¹ × 3947¹ × 17¹ × 5573¹
LCM(94728,94741) = 8974625448