What is the Least Common Multiple of 20086 and 20099?

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 20086 and 20099 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20086 and 20099, than apply into the LCM equation.

GCF(20086,20099) = 1
LCM(20086,20099) = ( 20086 × 20099) / 1
LCM(20086,20099) = 403708514 / 1
LCM(20086,20099) = 403708514

Least Common Multiple (LCM) of 20086 and 20099 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20086 and 20099. First we will calculate the prime factors of 20086 and 20099.

Prime Factorization of 20086

Prime Factorization of 20099

Now multiplying the highest exponent prime factors to calculate the LCM of 20086 and 20099.

LCM(20086,20099) = 2¹ × 11² × 83¹ × 101¹ × 199¹
LCM(20086,20099) = 403708514