What is the Least Common Multiple of 6420 and 6435?

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 6420 and 6435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6420 and 6435, than apply into the LCM equation.

GCF(6420,6435) = 15
LCM(6420,6435) = ( 6420 × 6435) / 15
LCM(6420,6435) = 41312700 / 15
LCM(6420,6435) = 2754180

Least Common Multiple (LCM) of 6420 and 6435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6420 and 6435. First we will calculate the prime factors of 6420 and 6435.

Prime Factorization of 6420

Prime Factorization of 6435

Now multiplying the highest exponent prime factors to calculate the LCM of 6420 and 6435.

LCM(6420,6435) = 2² × 3² × 5¹ × 107¹ × 11¹ × 13¹
LCM(6420,6435) = 2754180