What is the Least Common Multiple of 12456 and 12474?

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 12474 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 12474, than apply into the LCM equation.

GCF(12456,12474) = 18
LCM(12456,12474) = ( 12456 × 12474) / 18
LCM(12456,12474) = 155376144 / 18
LCM(12456,12474) = 8632008

Least Common Multiple (LCM) of 12456 and 12474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12456 and 12474. First we will calculate the prime factors of 12456 and 12474.

Prime Factorization of 12456

Prime Factorization of 12474

Now multiplying the highest exponent prime factors to calculate the LCM of 12456 and 12474.

LCM(12456,12474) = 2³ × 3⁴ × 173¹ × 7¹ × 11¹
LCM(12456,12474) = 8632008