What is the Least Common Multiple of 6617 and 6637?

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 6617 and 6637 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6617 and 6637, than apply into the LCM equation.

GCF(6617,6637) = 1
LCM(6617,6637) = ( 6617 × 6637) / 1
LCM(6617,6637) = 43917029 / 1
LCM(6617,6637) = 43917029

Least Common Multiple (LCM) of 6617 and 6637 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6617 and 6637. First we will calculate the prime factors of 6617 and 6637.

Prime Factorization of 6617

Prime Factorization of 6637

Now multiplying the highest exponent prime factors to calculate the LCM of 6617 and 6637.

LCM(6617,6637) = 13¹ × 509¹ × 6637¹
LCM(6617,6637) = 43917029