What is the Least Common Multiple of 92685 and 92700?

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 92685 and 92700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92685 and 92700, than apply into the LCM equation.

GCF(92685,92700) = 15
LCM(92685,92700) = ( 92685 × 92700) / 15
LCM(92685,92700) = 8591899500 / 15
LCM(92685,92700) = 572793300

Least Common Multiple (LCM) of 92685 and 92700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92685 and 92700. First we will calculate the prime factors of 92685 and 92700.

Prime Factorization of 92685

Prime Factorization of 92700

Now multiplying the highest exponent prime factors to calculate the LCM of 92685 and 92700.

LCM(92685,92700) = 3² × 5² × 37¹ × 167¹ × 2² × 103¹
LCM(92685,92700) = 572793300