What is the Least Common Multiple of 6654 and 6672?

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 6654 and 6672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6654 and 6672, than apply into the LCM equation.

GCF(6654,6672) = 6
LCM(6654,6672) = ( 6654 × 6672) / 6
LCM(6654,6672) = 44395488 / 6
LCM(6654,6672) = 7399248

Least Common Multiple (LCM) of 6654 and 6672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6654 and 6672. First we will calculate the prime factors of 6654 and 6672.

Prime Factorization of 6654

Prime Factorization of 6672

Now multiplying the highest exponent prime factors to calculate the LCM of 6654 and 6672.

LCM(6654,6672) = 2⁴ × 3¹ × 1109¹ × 139¹
LCM(6654,6672) = 7399248