What is the Least Common Multiple of 12456 and 12465?

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 12456 and 12465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12456 and 12465, than apply into the LCM equation.

GCF(12456,12465) = 9
LCM(12456,12465) = ( 12456 × 12465) / 9
LCM(12456,12465) = 155264040 / 9
LCM(12456,12465) = 17251560

Least Common Multiple (LCM) of 12456 and 12465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12456 and 12465. First we will calculate the prime factors of 12456 and 12465.

Prime Factorization of 12456

Prime Factorization of 12465

Now multiplying the highest exponent prime factors to calculate the LCM of 12456 and 12465.

LCM(12456,12465) = 2³ × 3² × 173¹ × 5¹ × 277¹
LCM(12456,12465) = 17251560