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What is the Least Common Multiple of 55505 and 55511?

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 55505 and 55511 is 3081138055.

LCM(55505,55511) = 3081138055

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Least Common Multiple of 55505 and 55511 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55505 and 55511, than apply into the LCM equation.

GCF(55505,55511) = 1
LCM(55505,55511) = ( 55505 × 55511) / 1
LCM(55505,55511) = 3081138055 / 1
LCM(55505,55511) = 3081138055

Least Common Multiple (LCM) of 55505 and 55511 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55505 and 55511. First we will calculate the prime factors of 55505 and 55511.

Prime Factorization of 55505

Prime factors of 55505 are 5, 17, 653. Prime factorization of 55505 in exponential form is:

55505 = 51 × 171 × 6531

Prime Factorization of 55511

Prime factors of 55511 are 55511. Prime factorization of 55511 in exponential form is:

55511 = 555111

Now multiplying the highest exponent prime factors to calculate the LCM of 55505 and 55511.

LCM(55505,55511) = 51 × 171 × 6531 × 555111
LCM(55505,55511) = 3081138055