What is the Least Common Multiple of 12803 and 12821?

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 12821 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 12821, than apply into the LCM equation.

GCF(12803,12821) = 1
LCM(12803,12821) = ( 12803 × 12821) / 1
LCM(12803,12821) = 164147263 / 1
LCM(12803,12821) = 164147263

Least Common Multiple (LCM) of 12803 and 12821 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12803 and 12821. First we will calculate the prime factors of 12803 and 12821.

Prime Factorization of 12803

Prime Factorization of 12821

Now multiplying the highest exponent prime factors to calculate the LCM of 12803 and 12821.

LCM(12803,12821) = 7¹ × 31¹ × 59¹ × 12821¹
LCM(12803,12821) = 164147263