What is the Least Common Multiple of 6643 and 6657?

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 6643 and 6657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6643 and 6657, than apply into the LCM equation.

GCF(6643,6657) = 7
LCM(6643,6657) = ( 6643 × 6657) / 7
LCM(6643,6657) = 44222451 / 7
LCM(6643,6657) = 6317493

Least Common Multiple (LCM) of 6643 and 6657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6643 and 6657. First we will calculate the prime factors of 6643 and 6657.

Prime Factorization of 6643

Prime Factorization of 6657

Now multiplying the highest exponent prime factors to calculate the LCM of 6643 and 6657.

LCM(6643,6657) = 7¹ × 13¹ × 73¹ × 3¹ × 317¹
LCM(6643,6657) = 6317493