GCF and LCM Calculator Logo

What is the Least Common Multiple of 25781 and 25791?

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 25781 and 25791 is 664917771.

LCM(25781,25791) = 664917771

LCM Calculator and
and

Least Common Multiple of 25781 and 25791 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25781 and 25791, than apply into the LCM equation.

GCF(25781,25791) = 1
LCM(25781,25791) = ( 25781 × 25791) / 1
LCM(25781,25791) = 664917771 / 1
LCM(25781,25791) = 664917771

Least Common Multiple (LCM) of 25781 and 25791 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25781 and 25791. First we will calculate the prime factors of 25781 and 25791.

Prime Factorization of 25781

Prime factors of 25781 are 7, 29, 127. Prime factorization of 25781 in exponential form is:

25781 = 71 × 291 × 1271

Prime Factorization of 25791

Prime factors of 25791 are 3, 8597. Prime factorization of 25791 in exponential form is:

25791 = 31 × 85971

Now multiplying the highest exponent prime factors to calculate the LCM of 25781 and 25791.

LCM(25781,25791) = 71 × 291 × 1271 × 31 × 85971
LCM(25781,25791) = 664917771