GCF and LCM Calculator Logo

What is the Least Common Multiple of 25878 and 25894?

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 (LCM) of 25878 and 25894 is 335042466.

LCM(25878,25894) = 335042466

LCM Calculator and
and

Least Common Multiple of 25878 and 25894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25878 and 25894, than apply into the LCM equation.

GCF(25878,25894) = 2
LCM(25878,25894) = ( 25878 × 25894) / 2
LCM(25878,25894) = 670084932 / 2
LCM(25878,25894) = 335042466

Least Common Multiple (LCM) of 25878 and 25894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25878 and 25894. First we will calculate the prime factors of 25878 and 25894.

Prime Factorization of 25878

Prime factors of 25878 are 2, 3, 19, 227. Prime factorization of 25878 in exponential form is:

25878 = 21 × 31 × 191 × 2271

Prime Factorization of 25894

Prime factors of 25894 are 2, 11, 107. Prime factorization of 25894 in exponential form is:

25894 = 21 × 112 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 25878 and 25894.

LCM(25878,25894) = 21 × 31 × 191 × 2271 × 112 × 1071
LCM(25878,25894) = 335042466