What is the Least Common Multiple of 12803 and 12811?

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 of 12803 and 12811 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12803 and 12811, than apply into the LCM equation.

GCF(12803,12811) = 1
LCM(12803,12811) = ( 12803 × 12811) / 1
LCM(12803,12811) = 164019233 / 1
LCM(12803,12811) = 164019233

Least Common Multiple (LCM) of 12803 and 12811 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12803 and 12811. First we will calculate the prime factors of 12803 and 12811.

Prime Factorization of 12803

Prime Factorization of 12811

Now multiplying the highest exponent prime factors to calculate the LCM of 12803 and 12811.

LCM(12803,12811) = 7¹ × 31¹ × 59¹ × 23¹ × 557¹
LCM(12803,12811) = 164019233