What is the Least Common Multiple of 80952 and 80970?

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 80970 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 80970, than apply into the LCM equation.

GCF(80952,80970) = 6
LCM(80952,80970) = ( 80952 × 80970) / 6
LCM(80952,80970) = 6554683440 / 6
LCM(80952,80970) = 1092447240

Least Common Multiple (LCM) of 80952 and 80970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80952 and 80970. First we will calculate the prime factors of 80952 and 80970.

Prime Factorization of 80952

Prime Factorization of 80970

Now multiplying the highest exponent prime factors to calculate the LCM of 80952 and 80970.

LCM(80952,80970) = 2³ × 3¹ × 3373¹ × 5¹ × 2699¹
LCM(80952,80970) = 1092447240