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What is the Least Common Multiple of 5203 and 5223?

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 5203 and 5223 is 27175269.

LCM(5203,5223) = 27175269

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Least Common Multiple of 5203 and 5223 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5203 and 5223, than apply into the LCM equation.

GCF(5203,5223) = 1
LCM(5203,5223) = ( 5203 × 5223) / 1
LCM(5203,5223) = 27175269 / 1
LCM(5203,5223) = 27175269

Least Common Multiple (LCM) of 5203 and 5223 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5203 and 5223. First we will calculate the prime factors of 5203 and 5223.

Prime Factorization of 5203

Prime factors of 5203 are 11, 43. Prime factorization of 5203 in exponential form is:

5203 = 112 × 431

Prime Factorization of 5223

Prime factors of 5223 are 3, 1741. Prime factorization of 5223 in exponential form is:

5223 = 31 × 17411

Now multiplying the highest exponent prime factors to calculate the LCM of 5203 and 5223.

LCM(5203,5223) = 112 × 431 × 31 × 17411
LCM(5203,5223) = 27175269