What is the Least Common Multiple of 80940 and 80952?

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 80940 and 80952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80940 and 80952, than apply into the LCM equation.

GCF(80940,80952) = 12
LCM(80940,80952) = ( 80940 × 80952) / 12
LCM(80940,80952) = 6552254880 / 12
LCM(80940,80952) = 546021240

Least Common Multiple (LCM) of 80940 and 80952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80940 and 80952. First we will calculate the prime factors of 80940 and 80952.

Prime Factorization of 80940

Prime Factorization of 80952

Now multiplying the highest exponent prime factors to calculate the LCM of 80940 and 80952.

LCM(80940,80952) = 2³ × 3¹ × 5¹ × 19¹ × 71¹ × 3373¹
LCM(80940,80952) = 546021240