What is the Least Common Multiple of 2565 and 2585?

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 2565 and 2585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2565 and 2585, than apply into the LCM equation.

GCF(2565,2585) = 5
LCM(2565,2585) = ( 2565 × 2585) / 5
LCM(2565,2585) = 6630525 / 5
LCM(2565,2585) = 1326105

Least Common Multiple (LCM) of 2565 and 2585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2565 and 2585. First we will calculate the prime factors of 2565 and 2585.

Prime Factorization of 2565

Prime Factorization of 2585

Now multiplying the highest exponent prime factors to calculate the LCM of 2565 and 2585.

LCM(2565,2585) = 3³ × 5¹ × 19¹ × 11¹ × 47¹
LCM(2565,2585) = 1326105