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What is the Least Common Multiple of 10849 and 10869?

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 10849 and 10869 is 117917781.

LCM(10849,10869) = 117917781

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Least Common Multiple of 10849 and 10869 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10849 and 10869, than apply into the LCM equation.

GCF(10849,10869) = 1
LCM(10849,10869) = ( 10849 × 10869) / 1
LCM(10849,10869) = 117917781 / 1
LCM(10849,10869) = 117917781

Least Common Multiple (LCM) of 10849 and 10869 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10849 and 10869. First we will calculate the prime factors of 10849 and 10869.

Prime Factorization of 10849

Prime factors of 10849 are 19, 571. Prime factorization of 10849 in exponential form is:

10849 = 191 × 5711

Prime Factorization of 10869

Prime factors of 10869 are 3, 3623. Prime factorization of 10869 in exponential form is:

10869 = 31 × 36231

Now multiplying the highest exponent prime factors to calculate the LCM of 10849 and 10869.

LCM(10849,10869) = 191 × 5711 × 31 × 36231
LCM(10849,10869) = 117917781