What is the Least Common Multiple of 94728 and 94736?

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 94736 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 94736, than apply into the LCM equation.

GCF(94728,94736) = 8
LCM(94728,94736) = ( 94728 × 94736) / 8
LCM(94728,94736) = 8974151808 / 8
LCM(94728,94736) = 1121768976

Least Common Multiple (LCM) of 94728 and 94736 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94728 and 94736. First we will calculate the prime factors of 94728 and 94736.

Prime Factorization of 94728

Prime Factorization of 94736

Now multiplying the highest exponent prime factors to calculate the LCM of 94728 and 94736.

LCM(94728,94736) = 2⁴ × 3¹ × 3947¹ × 31¹ × 191¹
LCM(94728,94736) = 1121768976