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What is the Least Common Multiple of 13845 and 13853?

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 13845 and 13853 is 191794785.

LCM(13845,13853) = 191794785

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Least Common Multiple of 13845 and 13853 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13845 and 13853, than apply into the LCM equation.

GCF(13845,13853) = 1
LCM(13845,13853) = ( 13845 × 13853) / 1
LCM(13845,13853) = 191794785 / 1
LCM(13845,13853) = 191794785

Least Common Multiple (LCM) of 13845 and 13853 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13845 and 13853. First we will calculate the prime factors of 13845 and 13853.

Prime Factorization of 13845

Prime factors of 13845 are 3, 5, 13, 71. Prime factorization of 13845 in exponential form is:

13845 = 31 × 51 × 131 × 711

Prime Factorization of 13853

Prime factors of 13853 are 7, 1979. Prime factorization of 13853 in exponential form is:

13853 = 71 × 19791

Now multiplying the highest exponent prime factors to calculate the LCM of 13845 and 13853.

LCM(13845,13853) = 31 × 51 × 131 × 711 × 71 × 19791
LCM(13845,13853) = 191794785