What is the Least Common Multiple of 86672 and 86688?

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 86672 and 86688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86672 and 86688, than apply into the LCM equation.

GCF(86672,86688) = 16
LCM(86672,86688) = ( 86672 × 86688) / 16
LCM(86672,86688) = 7513422336 / 16
LCM(86672,86688) = 469588896

Least Common Multiple (LCM) of 86672 and 86688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86672 and 86688. First we will calculate the prime factors of 86672 and 86688.

Prime Factorization of 86672

Prime Factorization of 86688

Now multiplying the highest exponent prime factors to calculate the LCM of 86672 and 86688.

LCM(86672,86688) = 2⁵ × 5417¹ × 3² × 7¹ × 43¹
LCM(86672,86688) = 469588896