What is the Least Common Multiple of 12504 and 12514?

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 12504 and 12514 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12504 and 12514, than apply into the LCM equation.

GCF(12504,12514) = 2
LCM(12504,12514) = ( 12504 × 12514) / 2
LCM(12504,12514) = 156475056 / 2
LCM(12504,12514) = 78237528

Least Common Multiple (LCM) of 12504 and 12514 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12504 and 12514. First we will calculate the prime factors of 12504 and 12514.

Prime Factorization of 12504

Prime Factorization of 12514

Now multiplying the highest exponent prime factors to calculate the LCM of 12504 and 12514.

LCM(12504,12514) = 2³ × 3¹ × 521¹ × 6257¹
LCM(12504,12514) = 78237528