What is the Least Common Multiple of 86652 and 86672?

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 86652 and 86672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86652 and 86672, than apply into the LCM equation.

GCF(86652,86672) = 4
LCM(86652,86672) = ( 86652 × 86672) / 4
LCM(86652,86672) = 7510302144 / 4
LCM(86652,86672) = 1877575536

Least Common Multiple (LCM) of 86652 and 86672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86652 and 86672. First we will calculate the prime factors of 86652 and 86672.

Prime Factorization of 86652

Prime Factorization of 86672

Now multiplying the highest exponent prime factors to calculate the LCM of 86652 and 86672.

LCM(86652,86672) = 2⁴ × 3² × 29¹ × 83¹ × 5417¹
LCM(86652,86672) = 1877575536