What is the Least Common Multiple of 93688 and 93695?

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 93688 and 93695 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93688 and 93695, than apply into the LCM equation.

GCF(93688,93695) = 7
LCM(93688,93695) = ( 93688 × 93695) / 7
LCM(93688,93695) = 8778097160 / 7
LCM(93688,93695) = 1254013880

Least Common Multiple (LCM) of 93688 and 93695 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93688 and 93695. First we will calculate the prime factors of 93688 and 93695.

Prime Factorization of 93688

Prime Factorization of 93695

Now multiplying the highest exponent prime factors to calculate the LCM of 93688 and 93695.

LCM(93688,93695) = 2³ × 7² × 239¹ × 5¹ × 2677¹
LCM(93688,93695) = 1254013880