What is the Least Common Multiple of 63252 and 63264?

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 63252 and 63264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63252 and 63264, than apply into the LCM equation.

GCF(63252,63264) = 12
LCM(63252,63264) = ( 63252 × 63264) / 12
LCM(63252,63264) = 4001574528 / 12
LCM(63252,63264) = 333464544

Least Common Multiple (LCM) of 63252 and 63264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63252 and 63264. First we will calculate the prime factors of 63252 and 63264.

Prime Factorization of 63252

Prime Factorization of 63264

Now multiplying the highest exponent prime factors to calculate the LCM of 63252 and 63264.

LCM(63252,63264) = 2⁵ × 3² × 7¹ × 251¹ × 659¹
LCM(63252,63264) = 333464544