What is the Least Common Multiple of 86652 and 86656?

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 86656 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 86656, than apply into the LCM equation.

GCF(86652,86656) = 4
LCM(86652,86656) = ( 86652 × 86656) / 4
LCM(86652,86656) = 7508915712 / 4
LCM(86652,86656) = 1877228928

Least Common Multiple (LCM) of 86652 and 86656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86652 and 86656. First we will calculate the prime factors of 86652 and 86656.

Prime Factorization of 86652

Prime Factorization of 86656

Now multiplying the highest exponent prime factors to calculate the LCM of 86652 and 86656.

LCM(86652,86656) = 2⁷ × 3² × 29¹ × 83¹ × 677¹
LCM(86652,86656) = 1877228928