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What is the Least Common Multiple of 5289 and 5296?

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 5289 and 5296 is 28010544.

LCM(5289,5296) = 28010544

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Least Common Multiple of 5289 and 5296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5289 and 5296, than apply into the LCM equation.

GCF(5289,5296) = 1
LCM(5289,5296) = ( 5289 × 5296) / 1
LCM(5289,5296) = 28010544 / 1
LCM(5289,5296) = 28010544

Least Common Multiple (LCM) of 5289 and 5296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5289 and 5296. First we will calculate the prime factors of 5289 and 5296.

Prime Factorization of 5289

Prime factors of 5289 are 3, 41, 43. Prime factorization of 5289 in exponential form is:

5289 = 31 × 411 × 431

Prime Factorization of 5296

Prime factors of 5296 are 2, 331. Prime factorization of 5296 in exponential form is:

5296 = 24 × 3311

Now multiplying the highest exponent prime factors to calculate the LCM of 5289 and 5296.

LCM(5289,5296) = 31 × 411 × 431 × 24 × 3311
LCM(5289,5296) = 28010544