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What is the Least Common Multiple of 10893 and 10911?

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 10911 is 39617841.

LCM(10893,10911) = 39617841

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Least Common Multiple of 10893 and 10911 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 10911, than apply into the LCM equation.

GCF(10893,10911) = 3
LCM(10893,10911) = ( 10893 × 10911) / 3
LCM(10893,10911) = 118853523 / 3
LCM(10893,10911) = 39617841

Least Common Multiple (LCM) of 10893 and 10911 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10893 and 10911. First we will calculate the prime factors of 10893 and 10911.

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 10911

Prime factors of 10911 are 3, 3637. Prime factorization of 10911 in exponential form is:

10911 = 31 × 36371

Now multiplying the highest exponent prime factors to calculate the LCM of 10893 and 10911.

LCM(10893,10911) = 31 × 36311 × 36371
LCM(10893,10911) = 39617841