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What is the Least Common Multiple of 5303 and 5318?

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 5303 and 5318 is 28201354.

LCM(5303,5318) = 28201354

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Least Common Multiple of 5303 and 5318 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5303 and 5318, than apply into the LCM equation.

GCF(5303,5318) = 1
LCM(5303,5318) = ( 5303 × 5318) / 1
LCM(5303,5318) = 28201354 / 1
LCM(5303,5318) = 28201354

Least Common Multiple (LCM) of 5303 and 5318 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5303 and 5318. First we will calculate the prime factors of 5303 and 5318.

Prime Factorization of 5303

Prime factors of 5303 are 5303. Prime factorization of 5303 in exponential form is:

5303 = 53031

Prime Factorization of 5318

Prime factors of 5318 are 2, 2659. Prime factorization of 5318 in exponential form is:

5318 = 21 × 26591

Now multiplying the highest exponent prime factors to calculate the LCM of 5303 and 5318.

LCM(5303,5318) = 53031 × 21 × 26591
LCM(5303,5318) = 28201354