What is the Least Common Multiple of 86585 and 86593?

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 86585 and 86593 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86585 and 86593, than apply into the LCM equation.

GCF(86585,86593) = 1
LCM(86585,86593) = ( 86585 × 86593) / 1
LCM(86585,86593) = 7497654905 / 1
LCM(86585,86593) = 7497654905

Least Common Multiple (LCM) of 86585 and 86593 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86585 and 86593. First we will calculate the prime factors of 86585 and 86593.

Prime Factorization of 86585

Prime Factorization of 86593

Now multiplying the highest exponent prime factors to calculate the LCM of 86585 and 86593.

LCM(86585,86593) = 5¹ × 17317¹ × 13¹ × 6661¹
LCM(86585,86593) = 7497654905