What is the Least Common Multiple of 42252 and 42264?

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 42252 and 42264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42252 and 42264, than apply into the LCM equation.

GCF(42252,42264) = 12
LCM(42252,42264) = ( 42252 × 42264) / 12
LCM(42252,42264) = 1785738528 / 12
LCM(42252,42264) = 148811544

Least Common Multiple (LCM) of 42252 and 42264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42252 and 42264. First we will calculate the prime factors of 42252 and 42264.

Prime Factorization of 42252

Prime Factorization of 42264

Now multiplying the highest exponent prime factors to calculate the LCM of 42252 and 42264.

LCM(42252,42264) = 2³ × 3² × 7¹ × 503¹ × 587¹
LCM(42252,42264) = 148811544