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What is the Least Common Multiple of 11844 and 11849?

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 11844 and 11849 is 140339556.

LCM(11844,11849) = 140339556

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Least Common Multiple of 11844 and 11849 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11844 and 11849, than apply into the LCM equation.

GCF(11844,11849) = 1
LCM(11844,11849) = ( 11844 × 11849) / 1
LCM(11844,11849) = 140339556 / 1
LCM(11844,11849) = 140339556

Least Common Multiple (LCM) of 11844 and 11849 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11844 and 11849. First we will calculate the prime factors of 11844 and 11849.

Prime Factorization of 11844

Prime factors of 11844 are 2, 3, 7, 47. Prime factorization of 11844 in exponential form is:

11844 = 22 × 32 × 71 × 471

Prime Factorization of 11849

Prime factors of 11849 are 17, 41. Prime factorization of 11849 in exponential form is:

11849 = 172 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 11844 and 11849.

LCM(11844,11849) = 22 × 32 × 71 × 471 × 172 × 411
LCM(11844,11849) = 140339556