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What is the Least Common Multiple of 10775 and 10794?

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 10775 and 10794 is 116305350.

LCM(10775,10794) = 116305350

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Least Common Multiple of 10775 and 10794 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10775 and 10794, than apply into the LCM equation.

GCF(10775,10794) = 1
LCM(10775,10794) = ( 10775 × 10794) / 1
LCM(10775,10794) = 116305350 / 1
LCM(10775,10794) = 116305350

Least Common Multiple (LCM) of 10775 and 10794 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10775 and 10794. First we will calculate the prime factors of 10775 and 10794.

Prime Factorization of 10775

Prime factors of 10775 are 5, 431. Prime factorization of 10775 in exponential form is:

10775 = 52 × 4311

Prime Factorization of 10794

Prime factors of 10794 are 2, 3, 7, 257. Prime factorization of 10794 in exponential form is:

10794 = 21 × 31 × 71 × 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 10775 and 10794.

LCM(10775,10794) = 52 × 4311 × 21 × 31 × 71 × 2571
LCM(10775,10794) = 116305350