What is the Least Common Multiple of 25359 and 25377?

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 25359 and 25377 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25359 and 25377, than apply into the LCM equation.

GCF(25359,25377) = 3
LCM(25359,25377) = ( 25359 × 25377) / 3
LCM(25359,25377) = 643535343 / 3
LCM(25359,25377) = 214511781

Least Common Multiple (LCM) of 25359 and 25377 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25359 and 25377. First we will calculate the prime factors of 25359 and 25377.

Prime Factorization of 25359

Prime Factorization of 25377

Now multiplying the highest exponent prime factors to calculate the LCM of 25359 and 25377.

LCM(25359,25377) = 3¹ × 79¹ × 107¹ × 11¹ × 769¹
LCM(25359,25377) = 214511781