What is the Least Common Multiple of 20382 and 20396?

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 20382 and 20396 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20382 and 20396, than apply into the LCM equation.

GCF(20382,20396) = 2
LCM(20382,20396) = ( 20382 × 20396) / 2
LCM(20382,20396) = 415711272 / 2
LCM(20382,20396) = 207855636

Least Common Multiple (LCM) of 20382 and 20396 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20382 and 20396. First we will calculate the prime factors of 20382 and 20396.

Prime Factorization of 20382

Prime Factorization of 20396

Now multiplying the highest exponent prime factors to calculate the LCM of 20382 and 20396.

LCM(20382,20396) = 2² × 3¹ × 43¹ × 79¹ × 5099¹
LCM(20382,20396) = 207855636