What is the Least Common Multiple of 24369 and 24375?

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 24369 and 24375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24369 and 24375, than apply into the LCM equation.

GCF(24369,24375) = 3
LCM(24369,24375) = ( 24369 × 24375) / 3
LCM(24369,24375) = 593994375 / 3
LCM(24369,24375) = 197998125

Least Common Multiple (LCM) of 24369 and 24375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24369 and 24375. First we will calculate the prime factors of 24369 and 24375.

Prime Factorization of 24369

Prime Factorization of 24375

Now multiplying the highest exponent prime factors to calculate the LCM of 24369 and 24375.

LCM(24369,24375) = 3¹ × 8123¹ × 5⁴ × 13¹
LCM(24369,24375) = 197998125