What is the Least Common Multiple of 6378 and 6384?

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 6378 and 6384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6378 and 6384, than apply into the LCM equation.

GCF(6378,6384) = 6
LCM(6378,6384) = ( 6378 × 6384) / 6
LCM(6378,6384) = 40717152 / 6
LCM(6378,6384) = 6786192

Least Common Multiple (LCM) of 6378 and 6384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6378 and 6384. First we will calculate the prime factors of 6378 and 6384.

Prime Factorization of 6378

Prime Factorization of 6384

Now multiplying the highest exponent prime factors to calculate the LCM of 6378 and 6384.

LCM(6378,6384) = 2⁴ × 3¹ × 1063¹ × 7¹ × 19¹
LCM(6378,6384) = 6786192