What is the Least Common Multiple of 18809 and 18817?

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 18809 and 18817 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18809 and 18817, than apply into the LCM equation.

GCF(18809,18817) = 1
LCM(18809,18817) = ( 18809 × 18817) / 1
LCM(18809,18817) = 353928953 / 1
LCM(18809,18817) = 353928953

Least Common Multiple (LCM) of 18809 and 18817 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18809 and 18817. First we will calculate the prime factors of 18809 and 18817.

Prime Factorization of 18809

Prime Factorization of 18817

Now multiplying the highest exponent prime factors to calculate the LCM of 18809 and 18817.

LCM(18809,18817) = 7¹ × 2687¹ × 31¹ × 607¹
LCM(18809,18817) = 353928953