What is the Least Common Multiple of 6596 and 6613?

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 6596 and 6613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6596 and 6613, than apply into the LCM equation.

GCF(6596,6613) = 17
LCM(6596,6613) = ( 6596 × 6613) / 17
LCM(6596,6613) = 43619348 / 17
LCM(6596,6613) = 2565844

Least Common Multiple (LCM) of 6596 and 6613 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6596 and 6613. First we will calculate the prime factors of 6596 and 6613.

Prime Factorization of 6596

Prime Factorization of 6613

Now multiplying the highest exponent prime factors to calculate the LCM of 6596 and 6613.

LCM(6596,6613) = 2² × 17¹ × 97¹ × 389¹
LCM(6596,6613) = 2565844