What is the Least Common Multiple of 25565 and 25585?

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 25565 and 25585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25565 and 25585, than apply into the LCM equation.

GCF(25565,25585) = 5
LCM(25565,25585) = ( 25565 × 25585) / 5
LCM(25565,25585) = 654080525 / 5
LCM(25565,25585) = 130816105

Least Common Multiple (LCM) of 25565 and 25585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25565 and 25585. First we will calculate the prime factors of 25565 and 25585.

Prime Factorization of 25565

Prime Factorization of 25585

Now multiplying the highest exponent prime factors to calculate the LCM of 25565 and 25585.

LCM(25565,25585) = 5¹ × 5113¹ × 7¹ × 17¹ × 43¹
LCM(25565,25585) = 130816105