What is the Least Common Multiple of 12373 and 12393?

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 12373 and 12393 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12373 and 12393, than apply into the LCM equation.

GCF(12373,12393) = 1
LCM(12373,12393) = ( 12373 × 12393) / 1
LCM(12373,12393) = 153338589 / 1
LCM(12373,12393) = 153338589

Least Common Multiple (LCM) of 12373 and 12393 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12373 and 12393. First we will calculate the prime factors of 12373 and 12393.

Prime Factorization of 12373

Prime Factorization of 12393

Now multiplying the highest exponent prime factors to calculate the LCM of 12373 and 12393.

LCM(12373,12393) = 12373¹ × 3⁶ × 17¹
LCM(12373,12393) = 153338589