What is the Least Common Multiple of 95056 and 95072?

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 95056 and 95072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95056 and 95072, than apply into the LCM equation.

GCF(95056,95072) = 16
LCM(95056,95072) = ( 95056 × 95072) / 16
LCM(95056,95072) = 9037164032 / 16
LCM(95056,95072) = 564822752

Least Common Multiple (LCM) of 95056 and 95072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95056 and 95072. First we will calculate the prime factors of 95056 and 95072.

Prime Factorization of 95056

Prime Factorization of 95072

Now multiplying the highest exponent prime factors to calculate the LCM of 95056 and 95072.

LCM(95056,95072) = 2⁵ × 13¹ × 457¹ × 2971¹
LCM(95056,95072) = 564822752