What is the Least Common Multiple of 6723 and 6739?

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 6739 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 6739, than apply into the LCM equation.

GCF(6723,6739) = 1
LCM(6723,6739) = ( 6723 × 6739) / 1
LCM(6723,6739) = 45306297 / 1
LCM(6723,6739) = 45306297

Least Common Multiple (LCM) of 6723 and 6739 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6723 and 6739. First we will calculate the prime factors of 6723 and 6739.

Prime Factorization of 6723

Prime Factorization of 6739

Now multiplying the highest exponent prime factors to calculate the LCM of 6723 and 6739.

LCM(6723,6739) = 3⁴ × 83¹ × 23¹ × 293¹
LCM(6723,6739) = 45306297