What is the Least Common Multiple of 22365 and 22375?

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 22365 and 22375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22365 and 22375, than apply into the LCM equation.

GCF(22365,22375) = 5
LCM(22365,22375) = ( 22365 × 22375) / 5
LCM(22365,22375) = 500416875 / 5
LCM(22365,22375) = 100083375

Least Common Multiple (LCM) of 22365 and 22375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22365 and 22375. First we will calculate the prime factors of 22365 and 22375.

Prime Factorization of 22365

Prime Factorization of 22375

Now multiplying the highest exponent prime factors to calculate the LCM of 22365 and 22375.

LCM(22365,22375) = 3² × 5³ × 7¹ × 71¹ × 179¹
LCM(22365,22375) = 100083375