What is the Least Common Multiple of 39282 and 39288?

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 39282 and 39288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39282 and 39288, than apply into the LCM equation.

GCF(39282,39288) = 6
LCM(39282,39288) = ( 39282 × 39288) / 6
LCM(39282,39288) = 1543311216 / 6
LCM(39282,39288) = 257218536

Least Common Multiple (LCM) of 39282 and 39288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39282 and 39288. First we will calculate the prime factors of 39282 and 39288.

Prime Factorization of 39282

Prime Factorization of 39288

Now multiplying the highest exponent prime factors to calculate the LCM of 39282 and 39288.

LCM(39282,39288) = 2³ × 3¹ × 6547¹ × 1637¹
LCM(39282,39288) = 257218536