What is the Least Common Multiple of 86640 and 86655?

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 86640 and 86655 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86640 and 86655, than apply into the LCM equation.

GCF(86640,86655) = 15
LCM(86640,86655) = ( 86640 × 86655) / 15
LCM(86640,86655) = 7507789200 / 15
LCM(86640,86655) = 500519280

Least Common Multiple (LCM) of 86640 and 86655 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86640 and 86655. First we will calculate the prime factors of 86640 and 86655.

Prime Factorization of 86640

Prime Factorization of 86655

Now multiplying the highest exponent prime factors to calculate the LCM of 86640 and 86655.

LCM(86640,86655) = 2⁴ × 3¹ × 5¹ × 19² × 53¹ × 109¹
LCM(86640,86655) = 500519280