What is the Least Common Multiple of 2578 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 2578 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 2578 and 2585, than apply into the LCM equation.

GCF(2578,2585) = 1
LCM(2578,2585) = ( 2578 × 2585) / 1
LCM(2578,2585) = 6664130 / 1
LCM(2578,2585) = 6664130

Least Common Multiple (LCM) of 2578 and 2585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2578 and 2585. First we will calculate the prime factors of 2578 and 2585.

Prime Factorization of 2578

Prime Factorization of 2585

Now multiplying the highest exponent prime factors to calculate the LCM of 2578 and 2585.

LCM(2578,2585) = 2¹ × 1289¹ × 5¹ × 11¹ × 47¹
LCM(2578,2585) = 6664130