What is the Least Common Multiple of 92700 and 92715?

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 92700 and 92715 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92700 and 92715, than apply into the LCM equation.

GCF(92700,92715) = 15
LCM(92700,92715) = ( 92700 × 92715) / 15
LCM(92700,92715) = 8594680500 / 15
LCM(92700,92715) = 572978700

Least Common Multiple (LCM) of 92700 and 92715 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92700 and 92715. First we will calculate the prime factors of 92700 and 92715.

Prime Factorization of 92700

Prime Factorization of 92715

Now multiplying the highest exponent prime factors to calculate the LCM of 92700 and 92715.

LCM(92700,92715) = 2² × 3² × 5² × 103¹ × 7¹ × 883¹
LCM(92700,92715) = 572978700