What is the Least Common Multiple of 95712 and 95728?

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 95712 and 95728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95712 and 95728, than apply into the LCM equation.

GCF(95712,95728) = 16
LCM(95712,95728) = ( 95712 × 95728) / 16
LCM(95712,95728) = 9162318336 / 16
LCM(95712,95728) = 572644896

Least Common Multiple (LCM) of 95712 and 95728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95712 and 95728. First we will calculate the prime factors of 95712 and 95728.

Prime Factorization of 95712

Prime Factorization of 95728

Now multiplying the highest exponent prime factors to calculate the LCM of 95712 and 95728.

LCM(95712,95728) = 2⁵ × 3¹ × 997¹ × 31¹ × 193¹
LCM(95712,95728) = 572644896