What is the Least Common Multiple of 22340 and 22345?

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 22340 and 22345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22340 and 22345, than apply into the LCM equation.

GCF(22340,22345) = 5
LCM(22340,22345) = ( 22340 × 22345) / 5
LCM(22340,22345) = 499187300 / 5
LCM(22340,22345) = 99837460

Least Common Multiple (LCM) of 22340 and 22345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22340 and 22345. First we will calculate the prime factors of 22340 and 22345.

Prime Factorization of 22340

Prime Factorization of 22345

Now multiplying the highest exponent prime factors to calculate the LCM of 22340 and 22345.

LCM(22340,22345) = 2² × 5¹ × 1117¹ × 41¹ × 109¹
LCM(22340,22345) = 99837460