What is the Least Common Multiple of 22338 and 22347?

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 22338 and 22347 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22338 and 22347, than apply into the LCM equation.

GCF(22338,22347) = 9
LCM(22338,22347) = ( 22338 × 22347) / 9
LCM(22338,22347) = 499187286 / 9
LCM(22338,22347) = 55465254

Least Common Multiple (LCM) of 22338 and 22347 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22338 and 22347. First we will calculate the prime factors of 22338 and 22347.

Prime Factorization of 22338

Prime Factorization of 22347

Now multiplying the highest exponent prime factors to calculate the LCM of 22338 and 22347.

LCM(22338,22347) = 2¹ × 3² × 17¹ × 73¹ × 13¹ × 191¹
LCM(22338,22347) = 55465254