GCF and LCM Calculator Logo

What is the Least Common Multiple of 12811 and 12823?

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 12811 and 12823 is 164275453.

LCM(12811,12823) = 164275453

LCM Calculator and
and

Least Common Multiple of 12811 and 12823 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12811 and 12823, than apply into the LCM equation.

GCF(12811,12823) = 1
LCM(12811,12823) = ( 12811 × 12823) / 1
LCM(12811,12823) = 164275453 / 1
LCM(12811,12823) = 164275453

Least Common Multiple (LCM) of 12811 and 12823 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12811 and 12823. First we will calculate the prime factors of 12811 and 12823.

Prime Factorization of 12811

Prime factors of 12811 are 23, 557. Prime factorization of 12811 in exponential form is:

12811 = 231 × 5571

Prime Factorization of 12823

Prime factors of 12823 are 12823. Prime factorization of 12823 in exponential form is:

12823 = 128231

Now multiplying the highest exponent prime factors to calculate the LCM of 12811 and 12823.

LCM(12811,12823) = 231 × 5571 × 128231
LCM(12811,12823) = 164275453