What is the Least Common Multiple of 86660 and 86675?

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 86660 and 86675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86660 and 86675, than apply into the LCM equation.

GCF(86660,86675) = 5
LCM(86660,86675) = ( 86660 × 86675) / 5
LCM(86660,86675) = 7511255500 / 5
LCM(86660,86675) = 1502251100

Least Common Multiple (LCM) of 86660 and 86675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86660 and 86675. First we will calculate the prime factors of 86660 and 86675.

Prime Factorization of 86660

Prime Factorization of 86675

Now multiplying the highest exponent prime factors to calculate the LCM of 86660 and 86675.

LCM(86660,86675) = 2² × 5² × 7¹ × 619¹ × 3467¹
LCM(86660,86675) = 1502251100