What is the Least Common Multiple of 22321 and 22337?

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 22321 and 22337 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22321 and 22337, than apply into the LCM equation.

GCF(22321,22337) = 1
LCM(22321,22337) = ( 22321 × 22337) / 1
LCM(22321,22337) = 498584177 / 1
LCM(22321,22337) = 498584177

Least Common Multiple (LCM) of 22321 and 22337 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22321 and 22337. First we will calculate the prime factors of 22321 and 22337.

Prime Factorization of 22321

Prime Factorization of 22337

Now multiplying the highest exponent prime factors to calculate the LCM of 22321 and 22337.

LCM(22321,22337) = 13¹ × 17¹ × 101¹ × 7¹ × 3191¹
LCM(22321,22337) = 498584177