What is the Least Common Multiple of 24393 and 24411?

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 24393 and 24411 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24393 and 24411, than apply into the LCM equation.

GCF(24393,24411) = 3
LCM(24393,24411) = ( 24393 × 24411) / 3
LCM(24393,24411) = 595457523 / 3
LCM(24393,24411) = 198485841

Least Common Multiple (LCM) of 24393 and 24411 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24393 and 24411. First we will calculate the prime factors of 24393 and 24411.

Prime Factorization of 24393

Prime Factorization of 24411

Now multiplying the highest exponent prime factors to calculate the LCM of 24393 and 24411.

LCM(24393,24411) = 3¹ × 47¹ × 173¹ × 79¹ × 103¹
LCM(24393,24411) = 198485841