What is the Least Common Multiple of 22085 and 22099?

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 22085 and 22099 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22085 and 22099, than apply into the LCM equation.

GCF(22085,22099) = 7
LCM(22085,22099) = ( 22085 × 22099) / 7
LCM(22085,22099) = 488056415 / 7
LCM(22085,22099) = 69722345

Least Common Multiple (LCM) of 22085 and 22099 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22085 and 22099. First we will calculate the prime factors of 22085 and 22099.

Prime Factorization of 22085

Prime Factorization of 22099

Now multiplying the highest exponent prime factors to calculate the LCM of 22085 and 22099.

LCM(22085,22099) = 5¹ × 7² × 631¹ × 11¹ × 41¹
LCM(22085,22099) = 69722345