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What is the Least Common Multiple of 5566 and 5585?

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 5585 is 31086110.

LCM(5566,5585) = 31086110

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Least Common Multiple of 5566 and 5585 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 5585, than apply into the LCM equation.

GCF(5566,5585) = 1
LCM(5566,5585) = ( 5566 × 5585) / 1
LCM(5566,5585) = 31086110 / 1
LCM(5566,5585) = 31086110

Least Common Multiple (LCM) of 5566 and 5585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5566 and 5585. First we will calculate the prime factors of 5566 and 5585.

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 5585

Prime factors of 5585 are 5, 1117. Prime factorization of 5585 in exponential form is:

5585 = 51 × 11171

Now multiplying the highest exponent prime factors to calculate the LCM of 5566 and 5585.

LCM(5566,5585) = 21 × 112 × 231 × 51 × 11171
LCM(5566,5585) = 31086110