What is the Least Common Multiple of 92712 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 92712 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 92712 and 92728, than apply into the LCM equation.

GCF(92712,92728) = 8
LCM(92712,92728) = ( 92712 × 92728) / 8
LCM(92712,92728) = 8596998336 / 8
LCM(92712,92728) = 1074624792

Least Common Multiple (LCM) of 92712 and 92728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92712 and 92728. First we will calculate the prime factors of 92712 and 92728.

Prime Factorization of 92712

Prime Factorization of 92728

Now multiplying the highest exponent prime factors to calculate the LCM of 92712 and 92728.

LCM(92712,92728) = 2³ × 3¹ × 3863¹ × 67¹ × 173¹
LCM(92712,92728) = 1074624792