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What is the Least Common Multiple of 55084 and 55099?

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 55084 and 55099 is 3035073316.

LCM(55084,55099) = 3035073316

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Least Common Multiple of 55084 and 55099 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55084 and 55099, than apply into the LCM equation.

GCF(55084,55099) = 1
LCM(55084,55099) = ( 55084 × 55099) / 1
LCM(55084,55099) = 3035073316 / 1
LCM(55084,55099) = 3035073316

Least Common Multiple (LCM) of 55084 and 55099 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55084 and 55099. First we will calculate the prime factors of 55084 and 55099.

Prime Factorization of 55084

Prime factors of 55084 are 2, 47, 293. Prime factorization of 55084 in exponential form is:

55084 = 22 × 471 × 2931

Prime Factorization of 55099

Prime factors of 55099 are 11, 5009. Prime factorization of 55099 in exponential form is:

55099 = 111 × 50091

Now multiplying the highest exponent prime factors to calculate the LCM of 55084 and 55099.

LCM(55084,55099) = 22 × 471 × 2931 × 111 × 50091
LCM(55084,55099) = 3035073316