What is the Least Common Multiple of 22355 and 22365?

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 22355 and 22365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22355 and 22365, than apply into the LCM equation.

GCF(22355,22365) = 5
LCM(22355,22365) = ( 22355 × 22365) / 5
LCM(22355,22365) = 499969575 / 5
LCM(22355,22365) = 99993915

Least Common Multiple (LCM) of 22355 and 22365 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22355 and 22365. First we will calculate the prime factors of 22355 and 22365.

Prime Factorization of 22355

Prime Factorization of 22365

Now multiplying the highest exponent prime factors to calculate the LCM of 22355 and 22365.

LCM(22355,22365) = 5¹ × 17¹ × 263¹ × 3² × 7¹ × 71¹
LCM(22355,22365) = 99993915