What is the Least Common Multiple of 12819 and 12837?

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 12819 and 12837 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12819 and 12837, than apply into the LCM equation.

GCF(12819,12837) = 3
LCM(12819,12837) = ( 12819 × 12837) / 3
LCM(12819,12837) = 164557503 / 3
LCM(12819,12837) = 54852501

Least Common Multiple (LCM) of 12819 and 12837 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12819 and 12837. First we will calculate the prime factors of 12819 and 12837.

Prime Factorization of 12819

Prime Factorization of 12837

Now multiplying the highest exponent prime factors to calculate the LCM of 12819 and 12837.

LCM(12819,12837) = 3¹ × 4273¹ × 11¹ × 389¹
LCM(12819,12837) = 54852501