What is the Least Common Multiple of 6589 and 6601?

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 6589 and 6601 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6589 and 6601, than apply into the LCM equation.

GCF(6589,6601) = 1
LCM(6589,6601) = ( 6589 × 6601) / 1
LCM(6589,6601) = 43493989 / 1
LCM(6589,6601) = 43493989

Least Common Multiple (LCM) of 6589 and 6601 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6589 and 6601. First we will calculate the prime factors of 6589 and 6601.

Prime Factorization of 6589

Prime Factorization of 6601

Now multiplying the highest exponent prime factors to calculate the LCM of 6589 and 6601.

LCM(6589,6601) = 11¹ × 599¹ × 7¹ × 23¹ × 41¹
LCM(6589,6601) = 43493989