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What is the Least Common Multiple of 13358 and 13376?

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 (LCM) of 13358 and 13376 is 89338304.

LCM(13358,13376) = 89338304

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Least Common Multiple of 13358 and 13376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13358 and 13376, than apply into the LCM equation.

GCF(13358,13376) = 2
LCM(13358,13376) = ( 13358 × 13376) / 2
LCM(13358,13376) = 178676608 / 2
LCM(13358,13376) = 89338304

Least Common Multiple (LCM) of 13358 and 13376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13358 and 13376. First we will calculate the prime factors of 13358 and 13376.

Prime Factorization of 13358

Prime factors of 13358 are 2, 6679. Prime factorization of 13358 in exponential form is:

13358 = 21 × 66791

Prime Factorization of 13376

Prime factors of 13376 are 2, 11, 19. Prime factorization of 13376 in exponential form is:

13376 = 26 × 111 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 13358 and 13376.

LCM(13358,13376) = 26 × 66791 × 111 × 191
LCM(13358,13376) = 89338304