What is the Least Common Multiple of 20376 and 20391?

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 20391 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 20391, than apply into the LCM equation.

GCF(20376,20391) = 3
LCM(20376,20391) = ( 20376 × 20391) / 3
LCM(20376,20391) = 415487016 / 3
LCM(20376,20391) = 138495672

Least Common Multiple (LCM) of 20376 and 20391 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20376 and 20391. First we will calculate the prime factors of 20376 and 20391.

Prime Factorization of 20376

Prime Factorization of 20391

Now multiplying the highest exponent prime factors to calculate the LCM of 20376 and 20391.

LCM(20376,20391) = 2³ × 3² × 283¹ × 7¹ × 971¹
LCM(20376,20391) = 138495672