What is the Least Common Multiple of 95922 and 95928?

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 95922 and 95928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95922 and 95928, than apply into the LCM equation.

GCF(95922,95928) = 6
LCM(95922,95928) = ( 95922 × 95928) / 6
LCM(95922,95928) = 9201605616 / 6
LCM(95922,95928) = 1533600936

Least Common Multiple (LCM) of 95922 and 95928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95922 and 95928. First we will calculate the prime factors of 95922 and 95928.

Prime Factorization of 95922

Prime Factorization of 95928

Now multiplying the highest exponent prime factors to calculate the LCM of 95922 and 95928.

LCM(95922,95928) = 2³ × 3² × 73² × 7¹ × 571¹
LCM(95922,95928) = 1533600936