What is the Least Common Multiple of 22269 and 22282?

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 22269 and 22282 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22269 and 22282, than apply into the LCM equation.

GCF(22269,22282) = 13
LCM(22269,22282) = ( 22269 × 22282) / 13
LCM(22269,22282) = 496197858 / 13
LCM(22269,22282) = 38169066

Least Common Multiple (LCM) of 22269 and 22282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22269 and 22282. First we will calculate the prime factors of 22269 and 22282.

Prime Factorization of 22269

Prime Factorization of 22282

Now multiplying the highest exponent prime factors to calculate the LCM of 22269 and 22282.

LCM(22269,22282) = 3¹ × 13¹ × 571¹ × 2¹ × 857¹
LCM(22269,22282) = 38169066