GCF and LCM Calculator Logo

What is the Least Common Multiple of 25269 and 25289?

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 25269 and 25289 is 639027741.

LCM(25269,25289) = 639027741

LCM Calculator and
and

Least Common Multiple of 25269 and 25289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25269 and 25289, than apply into the LCM equation.

GCF(25269,25289) = 1
LCM(25269,25289) = ( 25269 × 25289) / 1
LCM(25269,25289) = 639027741 / 1
LCM(25269,25289) = 639027741

Least Common Multiple (LCM) of 25269 and 25289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25269 and 25289. First we will calculate the prime factors of 25269 and 25289.

Prime Factorization of 25269

Prime factors of 25269 are 3, 8423. Prime factorization of 25269 in exponential form is:

25269 = 31 × 84231

Prime Factorization of 25289

Prime factors of 25289 are 11, 19. Prime factorization of 25289 in exponential form is:

25289 = 113 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 25269 and 25289.

LCM(25269,25289) = 31 × 84231 × 113 × 191
LCM(25269,25289) = 639027741