What is the Least Common Multiple of 6741 and 6757?

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 6741 and 6757 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6741 and 6757, than apply into the LCM equation.

GCF(6741,6757) = 1
LCM(6741,6757) = ( 6741 × 6757) / 1
LCM(6741,6757) = 45548937 / 1
LCM(6741,6757) = 45548937

Least Common Multiple (LCM) of 6741 and 6757 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6741 and 6757. First we will calculate the prime factors of 6741 and 6757.

Prime Factorization of 6741

Prime Factorization of 6757

Now multiplying the highest exponent prime factors to calculate the LCM of 6741 and 6757.

LCM(6741,6757) = 3² × 7¹ × 107¹ × 29¹ × 233¹
LCM(6741,6757) = 45548937