What is the Least Common Multiple of 6390 and 6405?

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 6390 and 6405 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6390 and 6405, than apply into the LCM equation.

GCF(6390,6405) = 15
LCM(6390,6405) = ( 6390 × 6405) / 15
LCM(6390,6405) = 40927950 / 15
LCM(6390,6405) = 2728530

Least Common Multiple (LCM) of 6390 and 6405 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6390 and 6405. First we will calculate the prime factors of 6390 and 6405.

Prime Factorization of 6390

Prime Factorization of 6405

Now multiplying the highest exponent prime factors to calculate the LCM of 6390 and 6405.

LCM(6390,6405) = 2¹ × 3² × 5¹ × 71¹ × 7¹ × 61¹
LCM(6390,6405) = 2728530