What is the Least Common Multiple of 12354 and 12366?

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 12354 and 12366 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12354 and 12366, than apply into the LCM equation.

GCF(12354,12366) = 6
LCM(12354,12366) = ( 12354 × 12366) / 6
LCM(12354,12366) = 152769564 / 6
LCM(12354,12366) = 25461594

Least Common Multiple (LCM) of 12354 and 12366 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12354 and 12366. First we will calculate the prime factors of 12354 and 12366.

Prime Factorization of 12354

Prime Factorization of 12366

Now multiplying the highest exponent prime factors to calculate the LCM of 12354 and 12366.

LCM(12354,12366) = 2¹ × 3³ × 29¹ × 71¹ × 229¹
LCM(12354,12366) = 25461594