GCF and LCM Calculator Logo

What is the Least Common Multiple of 25231 and 25239?

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 25231 and 25239 is 636805209.

LCM(25231,25239) = 636805209

LCM Calculator and
and

Least Common Multiple of 25231 and 25239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25231 and 25239, than apply into the LCM equation.

GCF(25231,25239) = 1
LCM(25231,25239) = ( 25231 × 25239) / 1
LCM(25231,25239) = 636805209 / 1
LCM(25231,25239) = 636805209

Least Common Multiple (LCM) of 25231 and 25239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25231 and 25239. First we will calculate the prime factors of 25231 and 25239.

Prime Factorization of 25231

Prime factors of 25231 are 23, 1097. Prime factorization of 25231 in exponential form is:

25231 = 231 × 10971

Prime Factorization of 25239

Prime factors of 25239 are 3, 47, 179. Prime factorization of 25239 in exponential form is:

25239 = 31 × 471 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 25231 and 25239.

LCM(25231,25239) = 231 × 10971 × 31 × 471 × 1791
LCM(25231,25239) = 636805209