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What is the Least Common Multiple of 5289 and 5306?

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 5306 is 28063434.

LCM(5289,5306) = 28063434

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Least Common Multiple of 5289 and 5306 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 5306, than apply into the LCM equation.

GCF(5289,5306) = 1
LCM(5289,5306) = ( 5289 × 5306) / 1
LCM(5289,5306) = 28063434 / 1
LCM(5289,5306) = 28063434

Least Common Multiple (LCM) of 5289 and 5306 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5289 and 5306. First we will calculate the prime factors of 5289 and 5306.

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 5306

Prime factors of 5306 are 2, 7, 379. Prime factorization of 5306 in exponential form is:

5306 = 21 × 71 × 3791

Now multiplying the highest exponent prime factors to calculate the LCM of 5289 and 5306.

LCM(5289,5306) = 31 × 411 × 431 × 21 × 71 × 3791
LCM(5289,5306) = 28063434