What is the Least Common Multiple of 25389 and 25395?

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 25389 and 25395 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25389 and 25395, than apply into the LCM equation.

GCF(25389,25395) = 3
LCM(25389,25395) = ( 25389 × 25395) / 3
LCM(25389,25395) = 644753655 / 3
LCM(25389,25395) = 214917885

Least Common Multiple (LCM) of 25389 and 25395 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25389 and 25395. First we will calculate the prime factors of 25389 and 25395.

Prime Factorization of 25389

Prime Factorization of 25395

Now multiplying the highest exponent prime factors to calculate the LCM of 25389 and 25395.

LCM(25389,25395) = 3² × 7¹ × 13¹ × 31¹ × 5¹ × 1693¹
LCM(25389,25395) = 214917885