What is the Least Common Multiple of 91728 and 91742?

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 91728 and 91742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91728 and 91742, than apply into the LCM equation.

GCF(91728,91742) = 14
LCM(91728,91742) = ( 91728 × 91742) / 14
LCM(91728,91742) = 8415310176 / 14
LCM(91728,91742) = 601093584

Least Common Multiple (LCM) of 91728 and 91742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91728 and 91742. First we will calculate the prime factors of 91728 and 91742.

Prime Factorization of 91728

Prime Factorization of 91742

Now multiplying the highest exponent prime factors to calculate the LCM of 91728 and 91742.

LCM(91728,91742) = 2⁴ × 3² × 7² × 13¹ × 6553¹
LCM(91728,91742) = 601093584