What is the Least Common Multiple of 20365 and 20381?

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 20365 and 20381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20365 and 20381, than apply into the LCM equation.

GCF(20365,20381) = 1
LCM(20365,20381) = ( 20365 × 20381) / 1
LCM(20365,20381) = 415059065 / 1
LCM(20365,20381) = 415059065

Least Common Multiple (LCM) of 20365 and 20381 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20365 and 20381. First we will calculate the prime factors of 20365 and 20381.

Prime Factorization of 20365

Prime Factorization of 20381

Now multiplying the highest exponent prime factors to calculate the LCM of 20365 and 20381.

LCM(20365,20381) = 5¹ × 4073¹ × 89¹ × 229¹
LCM(20365,20381) = 415059065