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What is the Least Common Multiple of 13276 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 13276 and 13296 is 44129424.

LCM(13276,13296) = 44129424

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Least Common Multiple of 13276 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 13276 and 13296, than apply into the LCM equation.

GCF(13276,13296) = 4
LCM(13276,13296) = ( 13276 × 13296) / 4
LCM(13276,13296) = 176517696 / 4
LCM(13276,13296) = 44129424

Least Common Multiple (LCM) of 13276 and 13296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13276 and 13296. First we will calculate the prime factors of 13276 and 13296.

Prime Factorization of 13276

Prime factors of 13276 are 2, 3319. Prime factorization of 13276 in exponential form is:

13276 = 22 × 33191

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 13276 and 13296.

LCM(13276,13296) = 24 × 33191 × 31 × 2771
LCM(13276,13296) = 44129424