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What is the Least Common Multiple of 5579 and 5599?

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 5579 and 5599 is 31236821.

LCM(5579,5599) = 31236821

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Least Common Multiple of 5579 and 5599 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5579 and 5599, than apply into the LCM equation.

GCF(5579,5599) = 1
LCM(5579,5599) = ( 5579 × 5599) / 1
LCM(5579,5599) = 31236821 / 1
LCM(5579,5599) = 31236821

Least Common Multiple (LCM) of 5579 and 5599 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5579 and 5599. First we will calculate the prime factors of 5579 and 5599.

Prime Factorization of 5579

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

5579 = 71 × 7971

Prime Factorization of 5599

Prime factors of 5599 are 11, 509. Prime factorization of 5599 in exponential form is:

5599 = 111 × 5091

Now multiplying the highest exponent prime factors to calculate the LCM of 5579 and 5599.

LCM(5579,5599) = 71 × 7971 × 111 × 5091
LCM(5579,5599) = 31236821