What is the Least Common Multiple of 6724 and 6744?

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 6724 and 6744 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6724 and 6744, than apply into the LCM equation.

GCF(6724,6744) = 4
LCM(6724,6744) = ( 6724 × 6744) / 4
LCM(6724,6744) = 45346656 / 4
LCM(6724,6744) = 11336664

Least Common Multiple (LCM) of 6724 and 6744 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6724 and 6744. First we will calculate the prime factors of 6724 and 6744.

Prime Factorization of 6724

Prime Factorization of 6744

Now multiplying the highest exponent prime factors to calculate the LCM of 6724 and 6744.

LCM(6724,6744) = 2³ × 41² × 3¹ × 281¹
LCM(6724,6744) = 11336664