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What is the Least Common Multiple of 55305 and 55321?

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 55305 and 55321 is 3059527905.

LCM(55305,55321) = 3059527905

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Least Common Multiple of 55305 and 55321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55305 and 55321, than apply into the LCM equation.

GCF(55305,55321) = 1
LCM(55305,55321) = ( 55305 × 55321) / 1
LCM(55305,55321) = 3059527905 / 1
LCM(55305,55321) = 3059527905

Least Common Multiple (LCM) of 55305 and 55321 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55305 and 55321. First we will calculate the prime factors of 55305 and 55321.

Prime Factorization of 55305

Prime factors of 55305 are 3, 5, 1229. Prime factorization of 55305 in exponential form is:

55305 = 32 × 51 × 12291

Prime Factorization of 55321

Prime factors of 55321 are 7, 1129. Prime factorization of 55321 in exponential form is:

55321 = 72 × 11291

Now multiplying the highest exponent prime factors to calculate the LCM of 55305 and 55321.

LCM(55305,55321) = 32 × 51 × 12291 × 72 × 11291
LCM(55305,55321) = 3059527905