What is the Least Common Multiple of 20378 and 20383?

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 20378 and 20383 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20378 and 20383, than apply into the LCM equation.

GCF(20378,20383) = 1
LCM(20378,20383) = ( 20378 × 20383) / 1
LCM(20378,20383) = 415364774 / 1
LCM(20378,20383) = 415364774

Least Common Multiple (LCM) of 20378 and 20383 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20378 and 20383. First we will calculate the prime factors of 20378 and 20383.

Prime Factorization of 20378

Prime Factorization of 20383

Now multiplying the highest exponent prime factors to calculate the LCM of 20378 and 20383.

LCM(20378,20383) = 2¹ × 23¹ × 443¹ × 11¹ × 17¹ × 109¹
LCM(20378,20383) = 415364774