GCF and LCM Calculator Logo

What is the Least Common Multiple of 25175 and 25181?

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 25175 and 25181 is 633931675.

LCM(25175,25181) = 633931675

LCM Calculator and
and

Least Common Multiple of 25175 and 25181 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25175 and 25181, than apply into the LCM equation.

GCF(25175,25181) = 1
LCM(25175,25181) = ( 25175 × 25181) / 1
LCM(25175,25181) = 633931675 / 1
LCM(25175,25181) = 633931675

Least Common Multiple (LCM) of 25175 and 25181 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25175 and 25181. First we will calculate the prime factors of 25175 and 25181.

Prime Factorization of 25175

Prime factors of 25175 are 5, 19, 53. Prime factorization of 25175 in exponential form is:

25175 = 52 × 191 × 531

Prime Factorization of 25181

Prime factors of 25181 are 13, 149. Prime factorization of 25181 in exponential form is:

25181 = 132 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 25175 and 25181.

LCM(25175,25181) = 52 × 191 × 531 × 132 × 1491
LCM(25175,25181) = 633931675