What is the Least Common Multiple of 86640 and 86660?

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 86660 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 86660, than apply into the LCM equation.

GCF(86640,86660) = 20
LCM(86640,86660) = ( 86640 × 86660) / 20
LCM(86640,86660) = 7508222400 / 20
LCM(86640,86660) = 375411120

Least Common Multiple (LCM) of 86640 and 86660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86640 and 86660. First we will calculate the prime factors of 86640 and 86660.

Prime Factorization of 86640

Prime Factorization of 86660

Now multiplying the highest exponent prime factors to calculate the LCM of 86640 and 86660.

LCM(86640,86660) = 2⁴ × 3¹ × 5¹ × 19² × 7¹ × 619¹
LCM(86640,86660) = 375411120