What is the Least Common Multiple of 12497 and 12501?

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 12497 and 12501 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12497 and 12501, than apply into the LCM equation.

GCF(12497,12501) = 1
LCM(12497,12501) = ( 12497 × 12501) / 1
LCM(12497,12501) = 156224997 / 1
LCM(12497,12501) = 156224997

Least Common Multiple (LCM) of 12497 and 12501 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12497 and 12501. First we will calculate the prime factors of 12497 and 12501.

Prime Factorization of 12497

Prime Factorization of 12501

Now multiplying the highest exponent prime factors to calculate the LCM of 12497 and 12501.

LCM(12497,12501) = 12497¹ × 3³ × 463¹
LCM(12497,12501) = 156224997