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What is the Least Common Multiple of 13827 and 13843?

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 13827 and 13843 is 191407161.

LCM(13827,13843) = 191407161

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Least Common Multiple of 13827 and 13843 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13827 and 13843, than apply into the LCM equation.

GCF(13827,13843) = 1
LCM(13827,13843) = ( 13827 × 13843) / 1
LCM(13827,13843) = 191407161 / 1
LCM(13827,13843) = 191407161

Least Common Multiple (LCM) of 13827 and 13843 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13827 and 13843. First we will calculate the prime factors of 13827 and 13843.

Prime Factorization of 13827

Prime factors of 13827 are 3, 11, 419. Prime factorization of 13827 in exponential form is:

13827 = 31 × 111 × 4191

Prime Factorization of 13843

Prime factors of 13843 are 109, 127. Prime factorization of 13843 in exponential form is:

13843 = 1091 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 13827 and 13843.

LCM(13827,13843) = 31 × 111 × 4191 × 1091 × 1271
LCM(13827,13843) = 191407161