What is the Least Common Multiple of 63384 and 63390?

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 63384 and 63390 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63384 and 63390, than apply into the LCM equation.

GCF(63384,63390) = 6
LCM(63384,63390) = ( 63384 × 63390) / 6
LCM(63384,63390) = 4017911760 / 6
LCM(63384,63390) = 669651960

Least Common Multiple (LCM) of 63384 and 63390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63384 and 63390. First we will calculate the prime factors of 63384 and 63390.

Prime Factorization of 63384

Prime Factorization of 63390

Now multiplying the highest exponent prime factors to calculate the LCM of 63384 and 63390.

LCM(63384,63390) = 2³ × 3¹ × 19¹ × 139¹ × 5¹ × 2113¹
LCM(63384,63390) = 669651960