What is the Least Common Multiple of 22303 and 22319?

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 22303 and 22319 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22303 and 22319, than apply into the LCM equation.

GCF(22303,22319) = 1
LCM(22303,22319) = ( 22303 × 22319) / 1
LCM(22303,22319) = 497780657 / 1
LCM(22303,22319) = 497780657

Least Common Multiple (LCM) of 22303 and 22319 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22303 and 22319. First we will calculate the prime factors of 22303 and 22319.

Prime Factorization of 22303

Prime Factorization of 22319

Now multiplying the highest exponent prime factors to calculate the LCM of 22303 and 22319.

LCM(22303,22319) = 22303¹ × 11¹ × 2029¹
LCM(22303,22319) = 497780657