What is the Least Common Multiple of 22287 and 22301?

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 22287 and 22301 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22287 and 22301, than apply into the LCM equation.

GCF(22287,22301) = 1
LCM(22287,22301) = ( 22287 × 22301) / 1
LCM(22287,22301) = 497022387 / 1
LCM(22287,22301) = 497022387

Least Common Multiple (LCM) of 22287 and 22301 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22287 and 22301. First we will calculate the prime factors of 22287 and 22301.

Prime Factorization of 22287

Prime Factorization of 22301

Now multiplying the highest exponent prime factors to calculate the LCM of 22287 and 22301.

LCM(22287,22301) = 3¹ × 17¹ × 19¹ × 23¹ × 29¹ × 769¹
LCM(22287,22301) = 497022387