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What is the Least Common Multiple of 5586 and 5603?

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 5586 and 5603 is 31298358.

LCM(5586,5603) = 31298358

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Least Common Multiple of 5586 and 5603 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5586 and 5603, than apply into the LCM equation.

GCF(5586,5603) = 1
LCM(5586,5603) = ( 5586 × 5603) / 1
LCM(5586,5603) = 31298358 / 1
LCM(5586,5603) = 31298358

Least Common Multiple (LCM) of 5586 and 5603 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5586 and 5603. First we will calculate the prime factors of 5586 and 5603.

Prime Factorization of 5586

Prime factors of 5586 are 2, 3, 7, 19. Prime factorization of 5586 in exponential form is:

5586 = 21 × 31 × 72 × 191

Prime Factorization of 5603

Prime factors of 5603 are 13, 431. Prime factorization of 5603 in exponential form is:

5603 = 131 × 4311

Now multiplying the highest exponent prime factors to calculate the LCM of 5586 and 5603.

LCM(5586,5603) = 21 × 31 × 72 × 191 × 131 × 4311
LCM(5586,5603) = 31298358