What is the Least Common Multiple of 6640 and 6646?

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 6640 and 6646 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6640 and 6646, than apply into the LCM equation.

GCF(6640,6646) = 2
LCM(6640,6646) = ( 6640 × 6646) / 2
LCM(6640,6646) = 44129440 / 2
LCM(6640,6646) = 22064720

Least Common Multiple (LCM) of 6640 and 6646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6640 and 6646. First we will calculate the prime factors of 6640 and 6646.

Prime Factorization of 6640

Prime Factorization of 6646

Now multiplying the highest exponent prime factors to calculate the LCM of 6640 and 6646.

LCM(6640,6646) = 2⁴ × 5¹ × 83¹ × 3323¹
LCM(6640,6646) = 22064720