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What is the Least Common Multiple of 5561 and 5579?

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 5561 and 5579 is 31024819.

LCM(5561,5579) = 31024819

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Least Common Multiple of 5561 and 5579 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5561 and 5579, than apply into the LCM equation.

GCF(5561,5579) = 1
LCM(5561,5579) = ( 5561 × 5579) / 1
LCM(5561,5579) = 31024819 / 1
LCM(5561,5579) = 31024819

Least Common Multiple (LCM) of 5561 and 5579 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5561 and 5579. First we will calculate the prime factors of 5561 and 5579.

Prime Factorization of 5561

Prime factors of 5561 are 67, 83. Prime factorization of 5561 in exponential form is:

5561 = 671 × 831

Prime Factorization of 5579

Prime factors of 5579 are 7, 797. Prime factorization of 5579 in exponential form is:

5579 = 71 × 7971

Now multiplying the highest exponent prime factors to calculate the LCM of 5561 and 5579.

LCM(5561,5579) = 671 × 831 × 71 × 7971
LCM(5561,5579) = 31024819