What is the Least Common Multiple of 23585 and 23592?

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 23585 and 23592 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23585 and 23592, than apply into the LCM equation.

GCF(23585,23592) = 1
LCM(23585,23592) = ( 23585 × 23592) / 1
LCM(23585,23592) = 556417320 / 1
LCM(23585,23592) = 556417320

Least Common Multiple (LCM) of 23585 and 23592 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23585 and 23592. First we will calculate the prime factors of 23585 and 23592.

Prime Factorization of 23585

Prime Factorization of 23592

Now multiplying the highest exponent prime factors to calculate the LCM of 23585 and 23592.

LCM(23585,23592) = 5¹ × 53¹ × 89¹ × 2³ × 3¹ × 983¹
LCM(23585,23592) = 556417320