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What is the Least Common Multiple of 10505 and 10511?

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 10505 and 10511 is 110418055.

LCM(10505,10511) = 110418055

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Least Common Multiple of 10505 and 10511 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10505 and 10511, than apply into the LCM equation.

GCF(10505,10511) = 1
LCM(10505,10511) = ( 10505 × 10511) / 1
LCM(10505,10511) = 110418055 / 1
LCM(10505,10511) = 110418055

Least Common Multiple (LCM) of 10505 and 10511 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10505 and 10511. First we will calculate the prime factors of 10505 and 10511.

Prime Factorization of 10505

Prime factors of 10505 are 5, 11, 191. Prime factorization of 10505 in exponential form is:

10505 = 51 × 111 × 1911

Prime Factorization of 10511

Prime factors of 10511 are 23, 457. Prime factorization of 10511 in exponential form is:

10511 = 231 × 4571

Now multiplying the highest exponent prime factors to calculate the LCM of 10505 and 10511.

LCM(10505,10511) = 51 × 111 × 1911 × 231 × 4571
LCM(10505,10511) = 110418055