What is the Least Common Multiple of 12519 and 12538?

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 12519 and 12538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12519 and 12538, than apply into the LCM equation.

GCF(12519,12538) = 1
LCM(12519,12538) = ( 12519 × 12538) / 1
LCM(12519,12538) = 156963222 / 1
LCM(12519,12538) = 156963222

Least Common Multiple (LCM) of 12519 and 12538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12519 and 12538. First we will calculate the prime factors of 12519 and 12538.

Prime Factorization of 12519

Prime Factorization of 12538

Now multiplying the highest exponent prime factors to calculate the LCM of 12519 and 12538.

LCM(12519,12538) = 3² × 13¹ × 107¹ × 2¹ × 6269¹
LCM(12519,12538) = 156963222