GCF and LCM Calculator Logo

What is the Least Common Multiple of 25780 and 25799?

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 25780 and 25799 is 665098220.

LCM(25780,25799) = 665098220

LCM Calculator and
and

Least Common Multiple of 25780 and 25799 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25780 and 25799, than apply into the LCM equation.

GCF(25780,25799) = 1
LCM(25780,25799) = ( 25780 × 25799) / 1
LCM(25780,25799) = 665098220 / 1
LCM(25780,25799) = 665098220

Least Common Multiple (LCM) of 25780 and 25799 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25780 and 25799. First we will calculate the prime factors of 25780 and 25799.

Prime Factorization of 25780

Prime factors of 25780 are 2, 5, 1289. Prime factorization of 25780 in exponential form is:

25780 = 22 × 51 × 12891

Prime Factorization of 25799

Prime factors of 25799 are 25799. Prime factorization of 25799 in exponential form is:

25799 = 257991

Now multiplying the highest exponent prime factors to calculate the LCM of 25780 and 25799.

LCM(25780,25799) = 22 × 51 × 12891 × 257991
LCM(25780,25799) = 665098220