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What is the Least Common Multiple of 5351 and 5363?

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 5351 and 5363 is 28697413.

LCM(5351,5363) = 28697413

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Least Common Multiple of 5351 and 5363 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5351 and 5363, than apply into the LCM equation.

GCF(5351,5363) = 1
LCM(5351,5363) = ( 5351 × 5363) / 1
LCM(5351,5363) = 28697413 / 1
LCM(5351,5363) = 28697413

Least Common Multiple (LCM) of 5351 and 5363 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5351 and 5363. First we will calculate the prime factors of 5351 and 5363.

Prime Factorization of 5351

Prime factors of 5351 are 5351. Prime factorization of 5351 in exponential form is:

5351 = 53511

Prime Factorization of 5363

Prime factors of 5363 are 31, 173. Prime factorization of 5363 in exponential form is:

5363 = 311 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 5351 and 5363.

LCM(5351,5363) = 53511 × 311 × 1731
LCM(5351,5363) = 28697413