What is the Least Common Multiple of 65916 and 65931?

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 65916 and 65931 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65916 and 65931, than apply into the LCM equation.

GCF(65916,65931) = 3
LCM(65916,65931) = ( 65916 × 65931) / 3
LCM(65916,65931) = 4345907796 / 3
LCM(65916,65931) = 1448635932

Least Common Multiple (LCM) of 65916 and 65931 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65916 and 65931. First we will calculate the prime factors of 65916 and 65931.

Prime Factorization of 65916

Prime Factorization of 65931

Now multiplying the highest exponent prime factors to calculate the LCM of 65916 and 65931.

LCM(65916,65931) = 2² × 3² × 1831¹ × 21977¹
LCM(65916,65931) = 1448635932