What is the Least Common Multiple of 39288 and 39294?

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 39288 and 39294 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39288 and 39294, than apply into the LCM equation.

GCF(39288,39294) = 6
LCM(39288,39294) = ( 39288 × 39294) / 6
LCM(39288,39294) = 1543782672 / 6
LCM(39288,39294) = 257297112

Least Common Multiple (LCM) of 39288 and 39294 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39288 and 39294. First we will calculate the prime factors of 39288 and 39294.

Prime Factorization of 39288

Prime Factorization of 39294

Now multiplying the highest exponent prime factors to calculate the LCM of 39288 and 39294.

LCM(39288,39294) = 2³ × 3² × 1637¹ × 37¹ × 59¹
LCM(39288,39294) = 257297112