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What is the Least Common Multiple of 11844 and 11853?

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 11853 is 15598548.

LCM(11844,11853) = 15598548

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Least Common Multiple of 11844 and 11853 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 11853, than apply into the LCM equation.

GCF(11844,11853) = 9
LCM(11844,11853) = ( 11844 × 11853) / 9
LCM(11844,11853) = 140386932 / 9
LCM(11844,11853) = 15598548

Least Common Multiple (LCM) of 11844 and 11853 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11844 and 11853. First we will calculate the prime factors of 11844 and 11853.

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 11853

Prime factors of 11853 are 3, 439. Prime factorization of 11853 in exponential form is:

11853 = 33 × 4391

Now multiplying the highest exponent prime factors to calculate the LCM of 11844 and 11853.

LCM(11844,11853) = 22 × 33 × 71 × 471 × 4391
LCM(11844,11853) = 15598548