What is the Least Common Multiple of 18221 and 18239?

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 18221 and 18239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18221 and 18239, than apply into the LCM equation.

GCF(18221,18239) = 1
LCM(18221,18239) = ( 18221 × 18239) / 1
LCM(18221,18239) = 332332819 / 1
LCM(18221,18239) = 332332819

Least Common Multiple (LCM) of 18221 and 18239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18221 and 18239. First we will calculate the prime factors of 18221 and 18239.

Prime Factorization of 18221

Prime Factorization of 18239

Now multiplying the highest exponent prime factors to calculate the LCM of 18221 and 18239.

LCM(18221,18239) = 7¹ × 19¹ × 137¹ × 13¹ × 23¹ × 61¹
LCM(18221,18239) = 332332819