What is the Least Common Multiple of 20376 and 20388?

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 20376 and 20388 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20376 and 20388, than apply into the LCM equation.

GCF(20376,20388) = 12
LCM(20376,20388) = ( 20376 × 20388) / 12
LCM(20376,20388) = 415425888 / 12
LCM(20376,20388) = 34618824

Least Common Multiple (LCM) of 20376 and 20388 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20376 and 20388. First we will calculate the prime factors of 20376 and 20388.

Prime Factorization of 20376

Prime Factorization of 20388

Now multiplying the highest exponent prime factors to calculate the LCM of 20376 and 20388.

LCM(20376,20388) = 2³ × 3² × 283¹ × 1699¹
LCM(20376,20388) = 34618824