What is the Least Common Multiple of 22299 and 22306?

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 22299 and 22306 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22299 and 22306, than apply into the LCM equation.

GCF(22299,22306) = 1
LCM(22299,22306) = ( 22299 × 22306) / 1
LCM(22299,22306) = 497401494 / 1
LCM(22299,22306) = 497401494

Least Common Multiple (LCM) of 22299 and 22306 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22299 and 22306. First we will calculate the prime factors of 22299 and 22306.

Prime Factorization of 22299

Prime Factorization of 22306

Now multiplying the highest exponent prime factors to calculate the LCM of 22299 and 22306.

LCM(22299,22306) = 3¹ × 7433¹ × 2¹ × 19¹ × 587¹
LCM(22299,22306) = 497401494