What is the Least Common Multiple of 22585 and 22590?

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 22585 and 22590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22585 and 22590, than apply into the LCM equation.

GCF(22585,22590) = 5
LCM(22585,22590) = ( 22585 × 22590) / 5
LCM(22585,22590) = 510195150 / 5
LCM(22585,22590) = 102039030

Least Common Multiple (LCM) of 22585 and 22590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22585 and 22590. First we will calculate the prime factors of 22585 and 22590.

Prime Factorization of 22585

Prime Factorization of 22590

Now multiplying the highest exponent prime factors to calculate the LCM of 22585 and 22590.

LCM(22585,22590) = 5¹ × 4517¹ × 2¹ × 3² × 251¹
LCM(22585,22590) = 102039030