What is the Least Common Multiple of 86352 and 86368?

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 86352 and 86368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86352 and 86368, than apply into the LCM equation.

GCF(86352,86368) = 16
LCM(86352,86368) = ( 86352 × 86368) / 16
LCM(86352,86368) = 7458049536 / 16
LCM(86352,86368) = 466128096

Least Common Multiple (LCM) of 86352 and 86368 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86352 and 86368. First we will calculate the prime factors of 86352 and 86368.

Prime Factorization of 86352

Prime Factorization of 86368

Now multiplying the highest exponent prime factors to calculate the LCM of 86352 and 86368.

LCM(86352,86368) = 2⁵ × 3¹ × 7¹ × 257¹ × 2699¹
LCM(86352,86368) = 466128096