What is the Least Common Multiple of 95976 and 95988?

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 95976 and 95988 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95976 and 95988, than apply into the LCM equation.

GCF(95976,95988) = 12
LCM(95976,95988) = ( 95976 × 95988) / 12
LCM(95976,95988) = 9212544288 / 12
LCM(95976,95988) = 767712024

Least Common Multiple (LCM) of 95976 and 95988 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95976 and 95988. First we will calculate the prime factors of 95976 and 95988.

Prime Factorization of 95976

Prime Factorization of 95988

Now multiplying the highest exponent prime factors to calculate the LCM of 95976 and 95988.

LCM(95976,95988) = 2³ × 3² × 31¹ × 43¹ × 19¹ × 421¹
LCM(95976,95988) = 767712024