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What is the Least Common Multiple of 55893 and 55905?

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 55893 and 55905 is 1041566055.

LCM(55893,55905) = 1041566055

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Least Common Multiple of 55893 and 55905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55893 and 55905, than apply into the LCM equation.

GCF(55893,55905) = 3
LCM(55893,55905) = ( 55893 × 55905) / 3
LCM(55893,55905) = 3124698165 / 3
LCM(55893,55905) = 1041566055

Least Common Multiple (LCM) of 55893 and 55905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55893 and 55905. First we will calculate the prime factors of 55893 and 55905.

Prime Factorization of 55893

Prime factors of 55893 are 3, 31, 601. Prime factorization of 55893 in exponential form is:

55893 = 31 × 311 × 6011

Prime Factorization of 55905

Prime factors of 55905 are 3, 5, 3727. Prime factorization of 55905 in exponential form is:

55905 = 31 × 51 × 37271

Now multiplying the highest exponent prime factors to calculate the LCM of 55893 and 55905.

LCM(55893,55905) = 31 × 311 × 6011 × 51 × 37271
LCM(55893,55905) = 1041566055