What is the Least Common Multiple of 25382 and 25388?

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 25382 and 25388 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25382 and 25388, than apply into the LCM equation.

GCF(25382,25388) = 2
LCM(25382,25388) = ( 25382 × 25388) / 2
LCM(25382,25388) = 644398216 / 2
LCM(25382,25388) = 322199108

Least Common Multiple (LCM) of 25382 and 25388 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25382 and 25388. First we will calculate the prime factors of 25382 and 25388.

Prime Factorization of 25382

Prime Factorization of 25388

Now multiplying the highest exponent prime factors to calculate the LCM of 25382 and 25388.

LCM(25382,25388) = 2² × 7³ × 37¹ × 11¹ × 577¹
LCM(25382,25388) = 322199108