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What is the Least Common Multiple of 5566 and 5584?

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 5566 and 5584 is 15540272.

LCM(5566,5584) = 15540272

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Least Common Multiple of 5566 and 5584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5566 and 5584, than apply into the LCM equation.

GCF(5566,5584) = 2
LCM(5566,5584) = ( 5566 × 5584) / 2
LCM(5566,5584) = 31080544 / 2
LCM(5566,5584) = 15540272

Least Common Multiple (LCM) of 5566 and 5584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5566 and 5584. First we will calculate the prime factors of 5566 and 5584.

Prime Factorization of 5566

Prime factors of 5566 are 2, 11, 23. Prime factorization of 5566 in exponential form is:

5566 = 21 × 112 × 231

Prime Factorization of 5584

Prime factors of 5584 are 2, 349. Prime factorization of 5584 in exponential form is:

5584 = 24 × 3491

Now multiplying the highest exponent prime factors to calculate the LCM of 5566 and 5584.

LCM(5566,5584) = 24 × 112 × 231 × 3491
LCM(5566,5584) = 15540272