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What is the Least Common Multiple of 13858 and 13873?

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 13858 and 13873 is 192252034.

LCM(13858,13873) = 192252034

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Least Common Multiple of 13858 and 13873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13858 and 13873, than apply into the LCM equation.

GCF(13858,13873) = 1
LCM(13858,13873) = ( 13858 × 13873) / 1
LCM(13858,13873) = 192252034 / 1
LCM(13858,13873) = 192252034

Least Common Multiple (LCM) of 13858 and 13873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13858 and 13873. First we will calculate the prime factors of 13858 and 13873.

Prime Factorization of 13858

Prime factors of 13858 are 2, 13, 41. Prime factorization of 13858 in exponential form is:

13858 = 21 × 132 × 411

Prime Factorization of 13873

Prime factors of 13873 are 13873. Prime factorization of 13873 in exponential form is:

13873 = 138731

Now multiplying the highest exponent prime factors to calculate the LCM of 13858 and 13873.

LCM(13858,13873) = 21 × 132 × 411 × 138731
LCM(13858,13873) = 192252034