What is the Least Common Multiple of 22382 and 22397?

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 22382 and 22397 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22382 and 22397, than apply into the LCM equation.

GCF(22382,22397) = 1
LCM(22382,22397) = ( 22382 × 22397) / 1
LCM(22382,22397) = 501289654 / 1
LCM(22382,22397) = 501289654

Least Common Multiple (LCM) of 22382 and 22397 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22382 and 22397. First we will calculate the prime factors of 22382 and 22397.

Prime Factorization of 22382

Prime Factorization of 22397

Now multiplying the highest exponent prime factors to calculate the LCM of 22382 and 22397.

LCM(22382,22397) = 2¹ × 19² × 31¹ × 22397¹
LCM(22382,22397) = 501289654