What is the Least Common Multiple of 92709 and 92728?

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 92709 and 92728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92709 and 92728, than apply into the LCM equation.

GCF(92709,92728) = 1
LCM(92709,92728) = ( 92709 × 92728) / 1
LCM(92709,92728) = 8596720152 / 1
LCM(92709,92728) = 8596720152

Least Common Multiple (LCM) of 92709 and 92728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92709 and 92728. First we will calculate the prime factors of 92709 and 92728.

Prime Factorization of 92709

Prime Factorization of 92728

Now multiplying the highest exponent prime factors to calculate the LCM of 92709 and 92728.

LCM(92709,92728) = 3² × 10301¹ × 2³ × 67¹ × 173¹
LCM(92709,92728) = 8596720152