What is the Least Common Multiple of 92952 and 92970?

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 92952 and 92970 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92952 and 92970, than apply into the LCM equation.

GCF(92952,92970) = 18
LCM(92952,92970) = ( 92952 × 92970) / 18
LCM(92952,92970) = 8641747440 / 18
LCM(92952,92970) = 480097080

Least Common Multiple (LCM) of 92952 and 92970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92952 and 92970. First we will calculate the prime factors of 92952 and 92970.

Prime Factorization of 92952

Prime Factorization of 92970

Now multiplying the highest exponent prime factors to calculate the LCM of 92952 and 92970.

LCM(92952,92970) = 2³ × 3² × 1291¹ × 5¹ × 1033¹
LCM(92952,92970) = 480097080