What is the Least Common Multiple of 22345 and 22360?

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 22345 and 22360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22345 and 22360, than apply into the LCM equation.

GCF(22345,22360) = 5
LCM(22345,22360) = ( 22345 × 22360) / 5
LCM(22345,22360) = 499634200 / 5
LCM(22345,22360) = 99926840

Least Common Multiple (LCM) of 22345 and 22360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22345 and 22360. First we will calculate the prime factors of 22345 and 22360.

Prime Factorization of 22345

Prime Factorization of 22360

Now multiplying the highest exponent prime factors to calculate the LCM of 22345 and 22360.

LCM(22345,22360) = 5¹ × 41¹ × 109¹ × 2³ × 13¹ × 43¹
LCM(22345,22360) = 99926840