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What is the Least Common Multiple of 55595 and 55609?

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 55595 and 55609 is 3091582355.

LCM(55595,55609) = 3091582355

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Least Common Multiple of 55595 and 55609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55595 and 55609, than apply into the LCM equation.

GCF(55595,55609) = 1
LCM(55595,55609) = ( 55595 × 55609) / 1
LCM(55595,55609) = 3091582355 / 1
LCM(55595,55609) = 3091582355

Least Common Multiple (LCM) of 55595 and 55609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55595 and 55609. First we will calculate the prime factors of 55595 and 55609.

Prime Factorization of 55595

Prime factors of 55595 are 5, 11119. Prime factorization of 55595 in exponential form is:

55595 = 51 × 111191

Prime Factorization of 55609

Prime factors of 55609 are 55609. Prime factorization of 55609 in exponential form is:

55609 = 556091

Now multiplying the highest exponent prime factors to calculate the LCM of 55595 and 55609.

LCM(55595,55609) = 51 × 111191 × 556091
LCM(55595,55609) = 3091582355