GCF and LCM Calculator Logo

What is the Least Common Multiple of 25355 and 25363?

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 25355 and 25363 is 643078865.

LCM(25355,25363) = 643078865

LCM Calculator and
and

Least Common Multiple of 25355 and 25363 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25355 and 25363, than apply into the LCM equation.

GCF(25355,25363) = 1
LCM(25355,25363) = ( 25355 × 25363) / 1
LCM(25355,25363) = 643078865 / 1
LCM(25355,25363) = 643078865

Least Common Multiple (LCM) of 25355 and 25363 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25355 and 25363. First we will calculate the prime factors of 25355 and 25363.

Prime Factorization of 25355

Prime factors of 25355 are 5, 11, 461. Prime factorization of 25355 in exponential form is:

25355 = 51 × 111 × 4611

Prime Factorization of 25363

Prime factors of 25363 are 13, 1951. Prime factorization of 25363 in exponential form is:

25363 = 131 × 19511

Now multiplying the highest exponent prime factors to calculate the LCM of 25355 and 25363.

LCM(25355,25363) = 51 × 111 × 4611 × 131 × 19511
LCM(25355,25363) = 643078865