What is the Least Common Multiple of 13378 and 13398?

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 13378 and 13398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13378 and 13398, than apply into the LCM equation.

GCF(13378,13398) = 2
LCM(13378,13398) = ( 13378 × 13398) / 2
LCM(13378,13398) = 179238444 / 2
LCM(13378,13398) = 89619222

Least Common Multiple (LCM) of 13378 and 13398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13378 and 13398. First we will calculate the prime factors of 13378 and 13398.

Prime Factorization of 13378

Prime Factorization of 13398

Now multiplying the highest exponent prime factors to calculate the LCM of 13378 and 13398.

LCM(13378,13398) = 2¹ × 6689¹ × 3¹ × 7¹ × 11¹ × 29¹
LCM(13378,13398) = 89619222