What is the Least Common Multiple of 20378 and 20398?

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 20398 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 20398, than apply into the LCM equation.

GCF(20378,20398) = 2
LCM(20378,20398) = ( 20378 × 20398) / 2
LCM(20378,20398) = 415670444 / 2
LCM(20378,20398) = 207835222

Least Common Multiple (LCM) of 20378 and 20398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20378 and 20398. First we will calculate the prime factors of 20378 and 20398.

Prime Factorization of 20378

Prime Factorization of 20398

Now multiplying the highest exponent prime factors to calculate the LCM of 20378 and 20398.

LCM(20378,20398) = 2¹ × 23¹ × 443¹ × 7¹ × 31¹ × 47¹
LCM(20378,20398) = 207835222