What is the Least Common Multiple of 12519 and 12532?

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 12532 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 12532, than apply into the LCM equation.

GCF(12519,12532) = 13
LCM(12519,12532) = ( 12519 × 12532) / 13
LCM(12519,12532) = 156888108 / 13
LCM(12519,12532) = 12068316

Least Common Multiple (LCM) of 12519 and 12532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12519 and 12532. First we will calculate the prime factors of 12519 and 12532.

Prime Factorization of 12519

Prime Factorization of 12532

Now multiplying the highest exponent prime factors to calculate the LCM of 12519 and 12532.

LCM(12519,12532) = 3² × 13¹ × 107¹ × 2² × 241¹
LCM(12519,12532) = 12068316