What is the Least Common Multiple of 12456 and 12476?

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 12476 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 12476, than apply into the LCM equation.

GCF(12456,12476) = 4
LCM(12456,12476) = ( 12456 × 12476) / 4
LCM(12456,12476) = 155401056 / 4
LCM(12456,12476) = 38850264

Least Common Multiple (LCM) of 12456 and 12476 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12456 and 12476. First we will calculate the prime factors of 12456 and 12476.

Prime Factorization of 12456

Prime Factorization of 12476

Now multiplying the highest exponent prime factors to calculate the LCM of 12456 and 12476.

LCM(12456,12476) = 2³ × 3² × 173¹ × 3119¹
LCM(12456,12476) = 38850264