What is the Least Common Multiple of 86676 and 86694?

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 86676 and 86694 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86676 and 86694, than apply into the LCM equation.

GCF(86676,86694) = 6
LCM(86676,86694) = ( 86676 × 86694) / 6
LCM(86676,86694) = 7514289144 / 6
LCM(86676,86694) = 1252381524

Least Common Multiple (LCM) of 86676 and 86694 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86676 and 86694. First we will calculate the prime factors of 86676 and 86694.

Prime Factorization of 86676

Prime Factorization of 86694

Now multiplying the highest exponent prime factors to calculate the LCM of 86676 and 86694.

LCM(86676,86694) = 2² × 3¹ × 31¹ × 233¹ × 14449¹
LCM(86676,86694) = 1252381524