What is the Least Common Multiple of 6648 and 6667?

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 6648 and 6667 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6648 and 6667, than apply into the LCM equation.

GCF(6648,6667) = 1
LCM(6648,6667) = ( 6648 × 6667) / 1
LCM(6648,6667) = 44322216 / 1
LCM(6648,6667) = 44322216

Least Common Multiple (LCM) of 6648 and 6667 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6648 and 6667. First we will calculate the prime factors of 6648 and 6667.

Prime Factorization of 6648

Prime Factorization of 6667

Now multiplying the highest exponent prime factors to calculate the LCM of 6648 and 6667.

LCM(6648,6667) = 2³ × 3¹ × 277¹ × 59¹ × 113¹
LCM(6648,6667) = 44322216