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What is the Least Common Multiple of 5315 and 5333?

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 5315 and 5333 is 28344895.

LCM(5315,5333) = 28344895

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Least Common Multiple of 5315 and 5333 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5315 and 5333, than apply into the LCM equation.

GCF(5315,5333) = 1
LCM(5315,5333) = ( 5315 × 5333) / 1
LCM(5315,5333) = 28344895 / 1
LCM(5315,5333) = 28344895

Least Common Multiple (LCM) of 5315 and 5333 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5315 and 5333. First we will calculate the prime factors of 5315 and 5333.

Prime Factorization of 5315

Prime factors of 5315 are 5, 1063. Prime factorization of 5315 in exponential form is:

5315 = 51 × 10631

Prime Factorization of 5333

Prime factors of 5333 are 5333. Prime factorization of 5333 in exponential form is:

5333 = 53331

Now multiplying the highest exponent prime factors to calculate the LCM of 5315 and 5333.

LCM(5315,5333) = 51 × 10631 × 53331
LCM(5315,5333) = 28344895