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What is the Least Common Multiple of 5590 and 5607?

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 5590 and 5607 is 31343130.

LCM(5590,5607) = 31343130

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Least Common Multiple of 5590 and 5607 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5590 and 5607, than apply into the LCM equation.

GCF(5590,5607) = 1
LCM(5590,5607) = ( 5590 × 5607) / 1
LCM(5590,5607) = 31343130 / 1
LCM(5590,5607) = 31343130

Least Common Multiple (LCM) of 5590 and 5607 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5590 and 5607. First we will calculate the prime factors of 5590 and 5607.

Prime Factorization of 5590

Prime factors of 5590 are 2, 5, 13, 43. Prime factorization of 5590 in exponential form is:

5590 = 21 × 51 × 131 × 431

Prime Factorization of 5607

Prime factors of 5607 are 3, 7, 89. Prime factorization of 5607 in exponential form is:

5607 = 32 × 71 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 5590 and 5607.

LCM(5590,5607) = 21 × 51 × 131 × 431 × 32 × 71 × 891
LCM(5590,5607) = 31343130