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What is the Least Common Multiple of 5593 and 5606?

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 5593 and 5606 is 31354358.

LCM(5593,5606) = 31354358

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Least Common Multiple of 5593 and 5606 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5593 and 5606, than apply into the LCM equation.

GCF(5593,5606) = 1
LCM(5593,5606) = ( 5593 × 5606) / 1
LCM(5593,5606) = 31354358 / 1
LCM(5593,5606) = 31354358

Least Common Multiple (LCM) of 5593 and 5606 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5593 and 5606. First we will calculate the prime factors of 5593 and 5606.

Prime Factorization of 5593

Prime factors of 5593 are 7, 17, 47. Prime factorization of 5593 in exponential form is:

5593 = 71 × 171 × 471

Prime Factorization of 5606

Prime factors of 5606 are 2, 2803. Prime factorization of 5606 in exponential form is:

5606 = 21 × 28031

Now multiplying the highest exponent prime factors to calculate the LCM of 5593 and 5606.

LCM(5593,5606) = 71 × 171 × 471 × 21 × 28031
LCM(5593,5606) = 31354358