What is the Least Common Multiple of 6743 and 6749?

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 6743 and 6749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6743 and 6749, than apply into the LCM equation.

GCF(6743,6749) = 1
LCM(6743,6749) = ( 6743 × 6749) / 1
LCM(6743,6749) = 45508507 / 1
LCM(6743,6749) = 45508507

Least Common Multiple (LCM) of 6743 and 6749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6743 and 6749. First we will calculate the prime factors of 6743 and 6749.

Prime Factorization of 6743

Prime Factorization of 6749

Now multiplying the highest exponent prime factors to calculate the LCM of 6743 and 6749.

LCM(6743,6749) = 11¹ × 613¹ × 17¹ × 397¹
LCM(6743,6749) = 45508507