What is the Least Common Multiple of 86565 and 86585?

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 86565 and 86585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86565 and 86585, than apply into the LCM equation.

GCF(86565,86585) = 5
LCM(86565,86585) = ( 86565 × 86585) / 5
LCM(86565,86585) = 7495230525 / 5
LCM(86565,86585) = 1499046105

Least Common Multiple (LCM) of 86565 and 86585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86565 and 86585. First we will calculate the prime factors of 86565 and 86585.

Prime Factorization of 86565

Prime Factorization of 86585

Now multiplying the highest exponent prime factors to calculate the LCM of 86565 and 86585.

LCM(86565,86585) = 3¹ × 5¹ × 29¹ × 199¹ × 17317¹
LCM(86565,86585) = 1499046105