What is the Least Common Multiple of 86696 and 86700?

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 86696 and 86700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86696 and 86700, than apply into the LCM equation.

GCF(86696,86700) = 4
LCM(86696,86700) = ( 86696 × 86700) / 4
LCM(86696,86700) = 7516543200 / 4
LCM(86696,86700) = 1879135800

Least Common Multiple (LCM) of 86696 and 86700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86696 and 86700. First we will calculate the prime factors of 86696 and 86700.

Prime Factorization of 86696

Prime Factorization of 86700

Now multiplying the highest exponent prime factors to calculate the LCM of 86696 and 86700.

LCM(86696,86700) = 2³ × 10837¹ × 3¹ × 5² × 17²
LCM(86696,86700) = 1879135800