What is the Least Common Multiple of 12500 and 12509?

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 12500 and 12509 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12500 and 12509, than apply into the LCM equation.

GCF(12500,12509) = 1
LCM(12500,12509) = ( 12500 × 12509) / 1
LCM(12500,12509) = 156362500 / 1
LCM(12500,12509) = 156362500

Least Common Multiple (LCM) of 12500 and 12509 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12500 and 12509. First we will calculate the prime factors of 12500 and 12509.

Prime Factorization of 12500

Prime Factorization of 12509

Now multiplying the highest exponent prime factors to calculate the LCM of 12500 and 12509.

LCM(12500,12509) = 2² × 5⁵ × 7¹ × 1787¹
LCM(12500,12509) = 156362500