What is the Least Common Multiple of 80952 and 80964?

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 80952 and 80964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80952 and 80964, than apply into the LCM equation.

GCF(80952,80964) = 12
LCM(80952,80964) = ( 80952 × 80964) / 12
LCM(80952,80964) = 6554197728 / 12
LCM(80952,80964) = 546183144

Least Common Multiple (LCM) of 80952 and 80964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80952 and 80964. First we will calculate the prime factors of 80952 and 80964.

Prime Factorization of 80952

Prime Factorization of 80964

Now multiplying the highest exponent prime factors to calculate the LCM of 80952 and 80964.

LCM(80952,80964) = 2³ × 3² × 3373¹ × 13¹ × 173¹
LCM(80952,80964) = 546183144