What is the Least Common Multiple of 6420 and 6432?

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 6432 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 6432, than apply into the LCM equation.

GCF(6420,6432) = 12
LCM(6420,6432) = ( 6420 × 6432) / 12
LCM(6420,6432) = 41293440 / 12
LCM(6420,6432) = 3441120

Least Common Multiple (LCM) of 6420 and 6432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6420 and 6432. First we will calculate the prime factors of 6420 and 6432.

Prime Factorization of 6420

Prime Factorization of 6432

Now multiplying the highest exponent prime factors to calculate the LCM of 6420 and 6432.

LCM(6420,6432) = 2⁵ × 3¹ × 5¹ × 107¹ × 67¹
LCM(6420,6432) = 3441120