What is the Least Common Multiple of 12499 and 12503?

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 12499 and 12503 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12499 and 12503, than apply into the LCM equation.

GCF(12499,12503) = 1
LCM(12499,12503) = ( 12499 × 12503) / 1
LCM(12499,12503) = 156274997 / 1
LCM(12499,12503) = 156274997

Least Common Multiple (LCM) of 12499 and 12503 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12499 and 12503. First we will calculate the prime factors of 12499 and 12503.

Prime Factorization of 12499

Prime Factorization of 12503

Now multiplying the highest exponent prime factors to calculate the LCM of 12499 and 12503.

LCM(12499,12503) = 29¹ × 431¹ × 12503¹
LCM(12499,12503) = 156274997