What is the Least Common Multiple of 12393 and 12411?

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 12393 and 12411 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12393 and 12411, than apply into the LCM equation.

GCF(12393,12411) = 9
LCM(12393,12411) = ( 12393 × 12411) / 9
LCM(12393,12411) = 153809523 / 9
LCM(12393,12411) = 17089947

Least Common Multiple (LCM) of 12393 and 12411 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12393 and 12411. First we will calculate the prime factors of 12393 and 12411.

Prime Factorization of 12393

Prime Factorization of 12411

Now multiplying the highest exponent prime factors to calculate the LCM of 12393 and 12411.

LCM(12393,12411) = 3⁶ × 17¹ × 7¹ × 197¹
LCM(12393,12411) = 17089947