What is the Least Common Multiple of 63384 and 63404?

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 63404 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 63404, than apply into the LCM equation.

GCF(63384,63404) = 4
LCM(63384,63404) = ( 63384 × 63404) / 4
LCM(63384,63404) = 4018799136 / 4
LCM(63384,63404) = 1004699784

Least Common Multiple (LCM) of 63384 and 63404 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63384 and 63404. First we will calculate the prime factors of 63384 and 63404.

Prime Factorization of 63384

Prime Factorization of 63404

Now multiplying the highest exponent prime factors to calculate the LCM of 63384 and 63404.

LCM(63384,63404) = 2³ × 3¹ × 19¹ × 139¹ × 11² × 131¹
LCM(63384,63404) = 1004699784