What is the Least Common Multiple of 94528 and 94538?

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 94528 and 94538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94528 and 94538, than apply into the LCM equation.

GCF(94528,94538) = 2
LCM(94528,94538) = ( 94528 × 94538) / 2
LCM(94528,94538) = 8936488064 / 2
LCM(94528,94538) = 4468244032

Least Common Multiple (LCM) of 94528 and 94538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94528 and 94538. First we will calculate the prime factors of 94528 and 94538.

Prime Factorization of 94528

Prime Factorization of 94538

Now multiplying the highest exponent prime factors to calculate the LCM of 94528 and 94538.

LCM(94528,94538) = 2⁶ × 7¹ × 211¹ × 47269¹
LCM(94528,94538) = 4468244032