What is the Least Common Multiple of 12997 and 13003?

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 12997 and 13003 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12997 and 13003, than apply into the LCM equation.

GCF(12997,13003) = 1
LCM(12997,13003) = ( 12997 × 13003) / 1
LCM(12997,13003) = 168999991 / 1
LCM(12997,13003) = 168999991

Least Common Multiple (LCM) of 12997 and 13003 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12997 and 13003. First we will calculate the prime factors of 12997 and 13003.

Prime Factorization of 12997

Prime Factorization of 13003

Now multiplying the highest exponent prime factors to calculate the LCM of 12997 and 13003.

LCM(12997,13003) = 41¹ × 317¹ × 13003¹
LCM(12997,13003) = 168999991