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What is the Least Common Multiple of 5585 and 5596?

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 5585 and 5596 is 31253660.

LCM(5585,5596) = 31253660

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Least Common Multiple of 5585 and 5596 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5585 and 5596, than apply into the LCM equation.

GCF(5585,5596) = 1
LCM(5585,5596) = ( 5585 × 5596) / 1
LCM(5585,5596) = 31253660 / 1
LCM(5585,5596) = 31253660

Least Common Multiple (LCM) of 5585 and 5596 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5585 and 5596. First we will calculate the prime factors of 5585 and 5596.

Prime Factorization of 5585

Prime factors of 5585 are 5, 1117. Prime factorization of 5585 in exponential form is:

5585 = 51 × 11171

Prime Factorization of 5596

Prime factors of 5596 are 2, 1399. Prime factorization of 5596 in exponential form is:

5596 = 22 × 13991

Now multiplying the highest exponent prime factors to calculate the LCM of 5585 and 5596.

LCM(5585,5596) = 51 × 11171 × 22 × 13991
LCM(5585,5596) = 31253660