What is the Least Common Multiple of 6384 and 6390?

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 6384 and 6390 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6384 and 6390, than apply into the LCM equation.

GCF(6384,6390) = 6
LCM(6384,6390) = ( 6384 × 6390) / 6
LCM(6384,6390) = 40793760 / 6
LCM(6384,6390) = 6798960

Least Common Multiple (LCM) of 6384 and 6390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6384 and 6390. First we will calculate the prime factors of 6384 and 6390.

Prime Factorization of 6384

Prime Factorization of 6390

Now multiplying the highest exponent prime factors to calculate the LCM of 6384 and 6390.

LCM(6384,6390) = 2⁴ × 3² × 7¹ × 19¹ × 5¹ × 71¹
LCM(6384,6390) = 6798960