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What is the Least Common Multiple of 5596 and 5609?

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 5596 and 5609 is 31387964.

LCM(5596,5609) = 31387964

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Least Common Multiple of 5596 and 5609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5596 and 5609, than apply into the LCM equation.

GCF(5596,5609) = 1
LCM(5596,5609) = ( 5596 × 5609) / 1
LCM(5596,5609) = 31387964 / 1
LCM(5596,5609) = 31387964

Least Common Multiple (LCM) of 5596 and 5609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5596 and 5609. First we will calculate the prime factors of 5596 and 5609.

Prime Factorization of 5596

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

5596 = 22 × 13991

Prime Factorization of 5609

Prime factors of 5609 are 71, 79. Prime factorization of 5609 in exponential form is:

5609 = 711 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 5596 and 5609.

LCM(5596,5609) = 22 × 13991 × 711 × 791
LCM(5596,5609) = 31387964