What is the Least Common Multiple of 63264 and 63279?

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 63264 and 63279 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63264 and 63279, than apply into the LCM equation.

GCF(63264,63279) = 3
LCM(63264,63279) = ( 63264 × 63279) / 3
LCM(63264,63279) = 4003282656 / 3
LCM(63264,63279) = 1334427552

Least Common Multiple (LCM) of 63264 and 63279 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63264 and 63279. First we will calculate the prime factors of 63264 and 63279.

Prime Factorization of 63264

Prime Factorization of 63279

Now multiplying the highest exponent prime factors to calculate the LCM of 63264 and 63279.

LCM(63264,63279) = 2⁵ × 3² × 659¹ × 79¹ × 89¹
LCM(63264,63279) = 1334427552