What is the Least Common Multiple of 6742 and 6746?

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 6742 and 6746 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6742 and 6746, than apply into the LCM equation.

GCF(6742,6746) = 2
LCM(6742,6746) = ( 6742 × 6746) / 2
LCM(6742,6746) = 45481532 / 2
LCM(6742,6746) = 22740766

Least Common Multiple (LCM) of 6742 and 6746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6742 and 6746. First we will calculate the prime factors of 6742 and 6746.

Prime Factorization of 6742

Prime Factorization of 6746

Now multiplying the highest exponent prime factors to calculate the LCM of 6742 and 6746.

LCM(6742,6746) = 2¹ × 3371¹ × 3373¹
LCM(6742,6746) = 22740766