What is the Least Common Multiple of 12399 and 12414?

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 12399 and 12414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12399 and 12414, than apply into the LCM equation.

GCF(12399,12414) = 3
LCM(12399,12414) = ( 12399 × 12414) / 3
LCM(12399,12414) = 153921186 / 3
LCM(12399,12414) = 51307062

Least Common Multiple (LCM) of 12399 and 12414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12399 and 12414. First we will calculate the prime factors of 12399 and 12414.

Prime Factorization of 12399

Prime Factorization of 12414

Now multiplying the highest exponent prime factors to calculate the LCM of 12399 and 12414.

LCM(12399,12414) = 3¹ × 4133¹ × 2¹ × 2069¹
LCM(12399,12414) = 51307062