GCF and LCM Calculator Logo

What is the Least Common Multiple of 25568 and 25583?

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 25568 and 25583 is 654106144.

LCM(25568,25583) = 654106144

LCM Calculator and
and

Least Common Multiple of 25568 and 25583 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25568 and 25583, than apply into the LCM equation.

GCF(25568,25583) = 1
LCM(25568,25583) = ( 25568 × 25583) / 1
LCM(25568,25583) = 654106144 / 1
LCM(25568,25583) = 654106144

Least Common Multiple (LCM) of 25568 and 25583 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25568 and 25583. First we will calculate the prime factors of 25568 and 25583.

Prime Factorization of 25568

Prime factors of 25568 are 2, 17, 47. Prime factorization of 25568 in exponential form is:

25568 = 25 × 171 × 471

Prime Factorization of 25583

Prime factors of 25583 are 25583. Prime factorization of 25583 in exponential form is:

25583 = 255831

Now multiplying the highest exponent prime factors to calculate the LCM of 25568 and 25583.

LCM(25568,25583) = 25 × 171 × 471 × 255831
LCM(25568,25583) = 654106144