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What is the Least Common Multiple of 5563 and 5583?

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 5563 and 5583 is 31058229.

LCM(5563,5583) = 31058229

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Least Common Multiple of 5563 and 5583 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5563 and 5583, than apply into the LCM equation.

GCF(5563,5583) = 1
LCM(5563,5583) = ( 5563 × 5583) / 1
LCM(5563,5583) = 31058229 / 1
LCM(5563,5583) = 31058229

Least Common Multiple (LCM) of 5563 and 5583 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5563 and 5583. First we will calculate the prime factors of 5563 and 5583.

Prime Factorization of 5563

Prime factors of 5563 are 5563. Prime factorization of 5563 in exponential form is:

5563 = 55631

Prime Factorization of 5583

Prime factors of 5583 are 3, 1861. Prime factorization of 5583 in exponential form is:

5583 = 31 × 18611

Now multiplying the highest exponent prime factors to calculate the LCM of 5563 and 5583.

LCM(5563,5583) = 55631 × 31 × 18611
LCM(5563,5583) = 31058229