What is the Least Common Multiple of 12444 and 12453?

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 12444 and 12453 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12444 and 12453, than apply into the LCM equation.

GCF(12444,12453) = 3
LCM(12444,12453) = ( 12444 × 12453) / 3
LCM(12444,12453) = 154965132 / 3
LCM(12444,12453) = 51655044

Least Common Multiple (LCM) of 12444 and 12453 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12444 and 12453. First we will calculate the prime factors of 12444 and 12453.

Prime Factorization of 12444

Prime Factorization of 12453

Now multiplying the highest exponent prime factors to calculate the LCM of 12444 and 12453.

LCM(12444,12453) = 2² × 3¹ × 17¹ × 61¹ × 7¹ × 593¹
LCM(12444,12453) = 51655044