What is the Least Common Multiple of 25605 and 25613?

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 25605 and 25613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25605 and 25613, than apply into the LCM equation.

GCF(25605,25613) = 1
LCM(25605,25613) = ( 25605 × 25613) / 1
LCM(25605,25613) = 655820865 / 1
LCM(25605,25613) = 655820865

Least Common Multiple (LCM) of 25605 and 25613 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25605 and 25613. First we will calculate the prime factors of 25605 and 25613.

Prime Factorization of 25605

Prime Factorization of 25613

Now multiplying the highest exponent prime factors to calculate the LCM of 25605 and 25613.

LCM(25605,25613) = 3² × 5¹ × 569¹ × 7¹ × 3659¹
LCM(25605,25613) = 655820865