What is the Least Common Multiple of 94538 and 94552?

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 94538 and 94552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94538 and 94552, than apply into the LCM equation.

GCF(94538,94552) = 2
LCM(94538,94552) = ( 94538 × 94552) / 2
LCM(94538,94552) = 8938756976 / 2
LCM(94538,94552) = 4469378488

Least Common Multiple (LCM) of 94538 and 94552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94538 and 94552. First we will calculate the prime factors of 94538 and 94552.

Prime Factorization of 94538

Prime Factorization of 94552

Now multiplying the highest exponent prime factors to calculate the LCM of 94538 and 94552.

LCM(94538,94552) = 2³ × 47269¹ × 53¹ × 223¹
LCM(94538,94552) = 4469378488