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What is the Least Common Multiple of 10844 and 10849?

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 10844 and 10849 is 117646556.

LCM(10844,10849) = 117646556

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Least Common Multiple of 10844 and 10849 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10844 and 10849, than apply into the LCM equation.

GCF(10844,10849) = 1
LCM(10844,10849) = ( 10844 × 10849) / 1
LCM(10844,10849) = 117646556 / 1
LCM(10844,10849) = 117646556

Least Common Multiple (LCM) of 10844 and 10849 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10844 and 10849. First we will calculate the prime factors of 10844 and 10849.

Prime Factorization of 10844

Prime factors of 10844 are 2, 2711. Prime factorization of 10844 in exponential form is:

10844 = 22 × 27111

Prime Factorization of 10849

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

10849 = 191 × 5711

Now multiplying the highest exponent prime factors to calculate the LCM of 10844 and 10849.

LCM(10844,10849) = 22 × 27111 × 191 × 5711
LCM(10844,10849) = 117646556