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What is the Least Common Multiple of 10845 and 10850?

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 10845 and 10850 is 23533650.

LCM(10845,10850) = 23533650

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Least Common Multiple of 10845 and 10850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10845 and 10850, than apply into the LCM equation.

GCF(10845,10850) = 5
LCM(10845,10850) = ( 10845 × 10850) / 5
LCM(10845,10850) = 117668250 / 5
LCM(10845,10850) = 23533650

Least Common Multiple (LCM) of 10845 and 10850 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10845 and 10850. First we will calculate the prime factors of 10845 and 10850.

Prime Factorization of 10845

Prime factors of 10845 are 3, 5, 241. Prime factorization of 10845 in exponential form is:

10845 = 32 × 51 × 2411

Prime Factorization of 10850

Prime factors of 10850 are 2, 5, 7, 31. Prime factorization of 10850 in exponential form is:

10850 = 21 × 52 × 71 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 10845 and 10850.

LCM(10845,10850) = 32 × 52 × 2411 × 21 × 71 × 311
LCM(10845,10850) = 23533650