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What is the Least Common Multiple of 55335 and 55346?

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 55335 and 55346 is 3062570910.

LCM(55335,55346) = 3062570910

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Least Common Multiple of 55335 and 55346 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55335 and 55346, than apply into the LCM equation.

GCF(55335,55346) = 1
LCM(55335,55346) = ( 55335 × 55346) / 1
LCM(55335,55346) = 3062570910 / 1
LCM(55335,55346) = 3062570910

Least Common Multiple (LCM) of 55335 and 55346 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55335 and 55346. First we will calculate the prime factors of 55335 and 55346.

Prime Factorization of 55335

Prime factors of 55335 are 3, 5, 7, 17, 31. Prime factorization of 55335 in exponential form is:

55335 = 31 × 51 × 71 × 171 × 311

Prime Factorization of 55346

Prime factors of 55346 are 2, 27673. Prime factorization of 55346 in exponential form is:

55346 = 21 × 276731

Now multiplying the highest exponent prime factors to calculate the LCM of 55335 and 55346.

LCM(55335,55346) = 31 × 51 × 71 × 171 × 311 × 21 × 276731
LCM(55335,55346) = 3062570910