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What is the Least Common Multiple of 5173 and 5190?

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 5173 and 5190 is 26847870.

LCM(5173,5190) = 26847870

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Least Common Multiple of 5173 and 5190 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5173 and 5190, than apply into the LCM equation.

GCF(5173,5190) = 1
LCM(5173,5190) = ( 5173 × 5190) / 1
LCM(5173,5190) = 26847870 / 1
LCM(5173,5190) = 26847870

Least Common Multiple (LCM) of 5173 and 5190 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5173 and 5190. First we will calculate the prime factors of 5173 and 5190.

Prime Factorization of 5173

Prime factors of 5173 are 7, 739. Prime factorization of 5173 in exponential form is:

5173 = 71 × 7391

Prime Factorization of 5190

Prime factors of 5190 are 2, 3, 5, 173. Prime factorization of 5190 in exponential form is:

5190 = 21 × 31 × 51 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 5173 and 5190.

LCM(5173,5190) = 71 × 7391 × 21 × 31 × 51 × 1731
LCM(5173,5190) = 26847870