What is the Least Common Multiple of 95916 and 95932?

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 95916 and 95932 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95916 and 95932, than apply into the LCM equation.

GCF(95916,95932) = 4
LCM(95916,95932) = ( 95916 × 95932) / 4
LCM(95916,95932) = 9201413712 / 4
LCM(95916,95932) = 2300353428

Least Common Multiple (LCM) of 95916 and 95932 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95916 and 95932. First we will calculate the prime factors of 95916 and 95932.

Prime Factorization of 95916

Prime Factorization of 95932

Now multiplying the highest exponent prime factors to calculate the LCM of 95916 and 95932.

LCM(95916,95932) = 2² × 3¹ × 7993¹ × 29¹ × 827¹
LCM(95916,95932) = 2300353428