What is the Least Common Multiple of 25925 and 25940?

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 25925 and 25940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25925 and 25940, than apply into the LCM equation.

GCF(25925,25940) = 5
LCM(25925,25940) = ( 25925 × 25940) / 5
LCM(25925,25940) = 672494500 / 5
LCM(25925,25940) = 134498900

Least Common Multiple (LCM) of 25925 and 25940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25925 and 25940. First we will calculate the prime factors of 25925 and 25940.

Prime Factorization of 25925

Prime Factorization of 25940

Now multiplying the highest exponent prime factors to calculate the LCM of 25925 and 25940.

LCM(25925,25940) = 5² × 17¹ × 61¹ × 2² × 1297¹
LCM(25925,25940) = 134498900