GCF and LCM Calculator Logo

What is the Least Common Multiple of 25241 and 25250?

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 25241 and 25250 is 637335250.

LCM(25241,25250) = 637335250

LCM Calculator and
and

Least Common Multiple of 25241 and 25250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25241 and 25250, than apply into the LCM equation.

GCF(25241,25250) = 1
LCM(25241,25250) = ( 25241 × 25250) / 1
LCM(25241,25250) = 637335250 / 1
LCM(25241,25250) = 637335250

Least Common Multiple (LCM) of 25241 and 25250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25241 and 25250. First we will calculate the prime factors of 25241 and 25250.

Prime Factorization of 25241

Prime factors of 25241 are 43, 587. Prime factorization of 25241 in exponential form is:

25241 = 431 × 5871

Prime Factorization of 25250

Prime factors of 25250 are 2, 5, 101. Prime factorization of 25250 in exponential form is:

25250 = 21 × 53 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 25241 and 25250.

LCM(25241,25250) = 431 × 5871 × 21 × 53 × 1011
LCM(25241,25250) = 637335250