What is the Least Common Multiple of 20349 and 20368?

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 20349 and 20368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20349 and 20368, than apply into the LCM equation.

GCF(20349,20368) = 19
LCM(20349,20368) = ( 20349 × 20368) / 19
LCM(20349,20368) = 414468432 / 19
LCM(20349,20368) = 21814128

Least Common Multiple (LCM) of 20349 and 20368 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20349 and 20368. First we will calculate the prime factors of 20349 and 20368.

Prime Factorization of 20349

Prime Factorization of 20368

Now multiplying the highest exponent prime factors to calculate the LCM of 20349 and 20368.

LCM(20349,20368) = 3² × 7¹ × 17¹ × 19¹ × 2⁴ × 67¹
LCM(20349,20368) = 21814128