What is the Least Common Multiple of 12993 and 12997?

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 12993 and 12997 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12993 and 12997, than apply into the LCM equation.

GCF(12993,12997) = 1
LCM(12993,12997) = ( 12993 × 12997) / 1
LCM(12993,12997) = 168870021 / 1
LCM(12993,12997) = 168870021

Least Common Multiple (LCM) of 12993 and 12997 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12993 and 12997. First we will calculate the prime factors of 12993 and 12997.

Prime Factorization of 12993

Prime Factorization of 12997

Now multiplying the highest exponent prime factors to calculate the LCM of 12993 and 12997.

LCM(12993,12997) = 3¹ × 61¹ × 71¹ × 41¹ × 317¹
LCM(12993,12997) = 168870021