What is the Least Common Multiple of 6569 and 6587?

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 6569 and 6587 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6569 and 6587, than apply into the LCM equation.

GCF(6569,6587) = 1
LCM(6569,6587) = ( 6569 × 6587) / 1
LCM(6569,6587) = 43270003 / 1
LCM(6569,6587) = 43270003

Least Common Multiple (LCM) of 6569 and 6587 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6569 and 6587. First we will calculate the prime factors of 6569 and 6587.

Prime Factorization of 6569

Prime Factorization of 6587

Now multiplying the highest exponent prime factors to calculate the LCM of 6569 and 6587.

LCM(6569,6587) = 6569¹ × 7¹ × 941¹
LCM(6569,6587) = 43270003