What is the Least Common Multiple of 63369 and 63384?

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 63369 and 63384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63369 and 63384, than apply into the LCM equation.

GCF(63369,63384) = 3
LCM(63369,63384) = ( 63369 × 63384) / 3
LCM(63369,63384) = 4016580696 / 3
LCM(63369,63384) = 1338860232

Least Common Multiple (LCM) of 63369 and 63384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63369 and 63384. First we will calculate the prime factors of 63369 and 63384.

Prime Factorization of 63369

Prime Factorization of 63384

Now multiplying the highest exponent prime factors to calculate the LCM of 63369 and 63384.

LCM(63369,63384) = 3³ × 2347¹ × 2³ × 19¹ × 139¹
LCM(63369,63384) = 1338860232