What is the Least Common Multiple of 22237 and 22241?

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 22237 and 22241 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22237 and 22241, than apply into the LCM equation.

GCF(22237,22241) = 1
LCM(22237,22241) = ( 22237 × 22241) / 1
LCM(22237,22241) = 494573117 / 1
LCM(22237,22241) = 494573117

Least Common Multiple (LCM) of 22237 and 22241 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22237 and 22241. First we will calculate the prime factors of 22237 and 22241.

Prime Factorization of 22237

Prime Factorization of 22241

Now multiplying the highest exponent prime factors to calculate the LCM of 22237 and 22241.

LCM(22237,22241) = 37¹ × 601¹ × 23¹ × 967¹
LCM(22237,22241) = 494573117