What is the Least Common Multiple of 12593 and 12613?

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 12593 and 12613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12593 and 12613, than apply into the LCM equation.

GCF(12593,12613) = 1
LCM(12593,12613) = ( 12593 × 12613) / 1
LCM(12593,12613) = 158835509 / 1
LCM(12593,12613) = 158835509

Least Common Multiple (LCM) of 12593 and 12613 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12593 and 12613. First we will calculate the prime factors of 12593 and 12613.

Prime Factorization of 12593

Prime Factorization of 12613

Now multiplying the highest exponent prime factors to calculate the LCM of 12593 and 12613.

LCM(12593,12613) = 7² × 257¹ × 12613¹
LCM(12593,12613) = 158835509