GCF and LCM Calculator Logo

What is the Least Common Multiple of 25811 and 25820?

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 25811 and 25820 is 666440020.

LCM(25811,25820) = 666440020

LCM Calculator and
and

Least Common Multiple of 25811 and 25820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25811 and 25820, than apply into the LCM equation.

GCF(25811,25820) = 1
LCM(25811,25820) = ( 25811 × 25820) / 1
LCM(25811,25820) = 666440020 / 1
LCM(25811,25820) = 666440020

Least Common Multiple (LCM) of 25811 and 25820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25811 and 25820. First we will calculate the prime factors of 25811 and 25820.

Prime Factorization of 25811

Prime factors of 25811 are 53, 487. Prime factorization of 25811 in exponential form is:

25811 = 531 × 4871

Prime Factorization of 25820

Prime factors of 25820 are 2, 5, 1291. Prime factorization of 25820 in exponential form is:

25820 = 22 × 51 × 12911

Now multiplying the highest exponent prime factors to calculate the LCM of 25811 and 25820.

LCM(25811,25820) = 531 × 4871 × 22 × 51 × 12911
LCM(25811,25820) = 666440020