What is the Least Common Multiple of 91710 and 91728?

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 91710 and 91728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91710 and 91728, than apply into the LCM equation.

GCF(91710,91728) = 18
LCM(91710,91728) = ( 91710 × 91728) / 18
LCM(91710,91728) = 8412374880 / 18
LCM(91710,91728) = 467354160

Least Common Multiple (LCM) of 91710 and 91728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91710 and 91728. First we will calculate the prime factors of 91710 and 91728.

Prime Factorization of 91710

Prime Factorization of 91728

Now multiplying the highest exponent prime factors to calculate the LCM of 91710 and 91728.

LCM(91710,91728) = 2⁴ × 3² × 5¹ × 1019¹ × 7² × 13¹
LCM(91710,91728) = 467354160