What is the Least Common Multiple of 20381 and 20386?

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 20381 and 20386 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20381 and 20386, than apply into the LCM equation.

GCF(20381,20386) = 1
LCM(20381,20386) = ( 20381 × 20386) / 1
LCM(20381,20386) = 415487066 / 1
LCM(20381,20386) = 415487066

Least Common Multiple (LCM) of 20381 and 20386 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20381 and 20386. First we will calculate the prime factors of 20381 and 20386.

Prime Factorization of 20381

Prime Factorization of 20386

Now multiplying the highest exponent prime factors to calculate the LCM of 20381 and 20386.

LCM(20381,20386) = 89¹ × 229¹ × 2¹ × 10193¹
LCM(20381,20386) = 415487066