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What is the Least Common Multiple of 10827 and 10845?

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 10827 and 10845 is 13046535.

LCM(10827,10845) = 13046535

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Least Common Multiple of 10827 and 10845 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10827 and 10845, than apply into the LCM equation.

GCF(10827,10845) = 9
LCM(10827,10845) = ( 10827 × 10845) / 9
LCM(10827,10845) = 117418815 / 9
LCM(10827,10845) = 13046535

Least Common Multiple (LCM) of 10827 and 10845 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10827 and 10845. First we will calculate the prime factors of 10827 and 10845.

Prime Factorization of 10827

Prime factors of 10827 are 3, 401. Prime factorization of 10827 in exponential form is:

10827 = 33 × 4011

Prime Factorization of 10845

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

10845 = 32 × 51 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 10827 and 10845.

LCM(10827,10845) = 33 × 4011 × 51 × 2411
LCM(10827,10845) = 13046535