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What is the Least Common Multiple of 13289 and 13296?

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 13289 and 13296 is 176690544.

LCM(13289,13296) = 176690544

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Least Common Multiple of 13289 and 13296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13289 and 13296, than apply into the LCM equation.

GCF(13289,13296) = 1
LCM(13289,13296) = ( 13289 × 13296) / 1
LCM(13289,13296) = 176690544 / 1
LCM(13289,13296) = 176690544

Least Common Multiple (LCM) of 13289 and 13296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13289 and 13296. First we will calculate the prime factors of 13289 and 13296.

Prime Factorization of 13289

Prime factors of 13289 are 97, 137. Prime factorization of 13289 in exponential form is:

13289 = 971 × 1371

Prime Factorization of 13296

Prime factors of 13296 are 2, 3, 277. Prime factorization of 13296 in exponential form is:

13296 = 24 × 31 × 2771

Now multiplying the highest exponent prime factors to calculate the LCM of 13289 and 13296.

LCM(13289,13296) = 971 × 1371 × 24 × 31 × 2771
LCM(13289,13296) = 176690544