What is the Least Common Multiple of 42264 and 42279?

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 42264 and 42279 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42264 and 42279, than apply into the LCM equation.

GCF(42264,42279) = 3
LCM(42264,42279) = ( 42264 × 42279) / 3
LCM(42264,42279) = 1786879656 / 3
LCM(42264,42279) = 595626552

Least Common Multiple (LCM) of 42264 and 42279 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42264 and 42279. First we will calculate the prime factors of 42264 and 42279.

Prime Factorization of 42264

Prime Factorization of 42279

Now multiplying the highest exponent prime factors to calculate the LCM of 42264 and 42279.

LCM(42264,42279) = 2³ × 3² × 587¹ × 17¹ × 829¹
LCM(42264,42279) = 595626552