What is the Least Common Multiple of 23355 and 23375?

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 23355 and 23375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23355 and 23375, than apply into the LCM equation.

GCF(23355,23375) = 5
LCM(23355,23375) = ( 23355 × 23375) / 5
LCM(23355,23375) = 545923125 / 5
LCM(23355,23375) = 109184625

Least Common Multiple (LCM) of 23355 and 23375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23355 and 23375. First we will calculate the prime factors of 23355 and 23375.

Prime Factorization of 23355

Prime Factorization of 23375

Now multiplying the highest exponent prime factors to calculate the LCM of 23355 and 23375.

LCM(23355,23375) = 3³ × 5³ × 173¹ × 11¹ × 17¹
LCM(23355,23375) = 109184625