What is the Least Common Multiple of 6723 and 6741?

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 6723 and 6741 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6723 and 6741, than apply into the LCM equation.

GCF(6723,6741) = 9
LCM(6723,6741) = ( 6723 × 6741) / 9
LCM(6723,6741) = 45319743 / 9
LCM(6723,6741) = 5035527

Least Common Multiple (LCM) of 6723 and 6741 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6723 and 6741. First we will calculate the prime factors of 6723 and 6741.

Prime Factorization of 6723

Prime Factorization of 6741

Now multiplying the highest exponent prime factors to calculate the LCM of 6723 and 6741.

LCM(6723,6741) = 3⁴ × 83¹ × 7¹ × 107¹
LCM(6723,6741) = 5035527