What is the Least Common Multiple of 6746 and 6752?

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 6746 and 6752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6746 and 6752, than apply into the LCM equation.

GCF(6746,6752) = 2
LCM(6746,6752) = ( 6746 × 6752) / 2
LCM(6746,6752) = 45548992 / 2
LCM(6746,6752) = 22774496

Least Common Multiple (LCM) of 6746 and 6752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6746 and 6752. First we will calculate the prime factors of 6746 and 6752.

Prime Factorization of 6746

Prime Factorization of 6752

Now multiplying the highest exponent prime factors to calculate the LCM of 6746 and 6752.

LCM(6746,6752) = 2⁵ × 3373¹ × 211¹
LCM(6746,6752) = 22774496