What is the Least Common Multiple of 89585 and 89590?

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 89585 and 89590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89585 and 89590, than apply into the LCM equation.

GCF(89585,89590) = 5
LCM(89585,89590) = ( 89585 × 89590) / 5
LCM(89585,89590) = 8025920150 / 5
LCM(89585,89590) = 1605184030

Least Common Multiple (LCM) of 89585 and 89590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89585 and 89590. First we will calculate the prime factors of 89585 and 89590.

Prime Factorization of 89585

Prime Factorization of 89590

Now multiplying the highest exponent prime factors to calculate the LCM of 89585 and 89590.

LCM(89585,89590) = 5¹ × 19¹ × 23¹ × 41¹ × 2¹ × 17² × 31¹
LCM(89585,89590) = 1605184030