What is the Least Common Multiple of 18209 and 18221?

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 18209 and 18221 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18209 and 18221, than apply into the LCM equation.

GCF(18209,18221) = 1
LCM(18209,18221) = ( 18209 × 18221) / 1
LCM(18209,18221) = 331786189 / 1
LCM(18209,18221) = 331786189

Least Common Multiple (LCM) of 18209 and 18221 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18209 and 18221. First we will calculate the prime factors of 18209 and 18221.

Prime Factorization of 18209

Prime Factorization of 18221

Now multiplying the highest exponent prime factors to calculate the LCM of 18209 and 18221.

LCM(18209,18221) = 131¹ × 139¹ × 7¹ × 19¹ × 137¹
LCM(18209,18221) = 331786189