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What is the Least Common Multiple of 5558 and 5566?

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 5558 and 5566 is 15467914.

LCM(5558,5566) = 15467914

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Least Common Multiple of 5558 and 5566 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5558 and 5566, than apply into the LCM equation.

GCF(5558,5566) = 2
LCM(5558,5566) = ( 5558 × 5566) / 2
LCM(5558,5566) = 30935828 / 2
LCM(5558,5566) = 15467914

Least Common Multiple (LCM) of 5558 and 5566 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5558 and 5566. First we will calculate the prime factors of 5558 and 5566.

Prime Factorization of 5558

Prime factors of 5558 are 2, 7, 397. Prime factorization of 5558 in exponential form is:

5558 = 21 × 71 × 3971

Prime Factorization of 5566

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

5566 = 21 × 112 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 5558 and 5566.

LCM(5558,5566) = 21 × 71 × 3971 × 112 × 231
LCM(5558,5566) = 15467914