What is the Least Common Multiple of 3378 and 3398?

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 3378 and 3398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3378 and 3398, than apply into the LCM equation.

GCF(3378,3398) = 2
LCM(3378,3398) = ( 3378 × 3398) / 2
LCM(3378,3398) = 11478444 / 2
LCM(3378,3398) = 5739222

Least Common Multiple (LCM) of 3378 and 3398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3378 and 3398. First we will calculate the prime factors of 3378 and 3398.

Prime Factorization of 3378

Prime Factorization of 3398

Now multiplying the highest exponent prime factors to calculate the LCM of 3378 and 3398.

LCM(3378,3398) = 2¹ × 3¹ × 563¹ × 1699¹
LCM(3378,3398) = 5739222