GCF and LCM Calculator Logo

What is the Least Common Multiple of 25387 and 25397?

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 25387 and 25397 is 644753639.

LCM(25387,25397) = 644753639

LCM Calculator and
and

Least Common Multiple of 25387 and 25397 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25387 and 25397, than apply into the LCM equation.

GCF(25387,25397) = 1
LCM(25387,25397) = ( 25387 × 25397) / 1
LCM(25387,25397) = 644753639 / 1
LCM(25387,25397) = 644753639

Least Common Multiple (LCM) of 25387 and 25397 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25387 and 25397. First we will calculate the prime factors of 25387 and 25397.

Prime Factorization of 25387

Prime factors of 25387 are 53, 479. Prime factorization of 25387 in exponential form is:

25387 = 531 × 4791

Prime Factorization of 25397

Prime factors of 25397 are 109, 233. Prime factorization of 25397 in exponential form is:

25397 = 1091 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 25387 and 25397.

LCM(25387,25397) = 531 × 4791 × 1091 × 2331
LCM(25387,25397) = 644753639