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What is the Least Common Multiple of 10893 and 10905?

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 10893 and 10905 is 39596055.

LCM(10893,10905) = 39596055

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Least Common Multiple of 10893 and 10905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10893 and 10905, than apply into the LCM equation.

GCF(10893,10905) = 3
LCM(10893,10905) = ( 10893 × 10905) / 3
LCM(10893,10905) = 118788165 / 3
LCM(10893,10905) = 39596055

Least Common Multiple (LCM) of 10893 and 10905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10893 and 10905. First we will calculate the prime factors of 10893 and 10905.

Prime Factorization of 10893

Prime factors of 10893 are 3, 3631. Prime factorization of 10893 in exponential form is:

10893 = 31 × 36311

Prime Factorization of 10905

Prime factors of 10905 are 3, 5, 727. Prime factorization of 10905 in exponential form is:

10905 = 31 × 51 × 7271

Now multiplying the highest exponent prime factors to calculate the LCM of 10893 and 10905.

LCM(10893,10905) = 31 × 36311 × 51 × 7271
LCM(10893,10905) = 39596055