What is the Least Common Multiple of 12414 and 12432?

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 12414 and 12432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12414 and 12432, than apply into the LCM equation.

GCF(12414,12432) = 6
LCM(12414,12432) = ( 12414 × 12432) / 6
LCM(12414,12432) = 154330848 / 6
LCM(12414,12432) = 25721808

Least Common Multiple (LCM) of 12414 and 12432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12414 and 12432. First we will calculate the prime factors of 12414 and 12432.

Prime Factorization of 12414

Prime Factorization of 12432

Now multiplying the highest exponent prime factors to calculate the LCM of 12414 and 12432.

LCM(12414,12432) = 2⁴ × 3¹ × 2069¹ × 7¹ × 37¹
LCM(12414,12432) = 25721808