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What is the Least Common Multiple of 3853 and 3858?

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 3853 and 3858 is 14864874.

LCM(3853,3858) = 14864874

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Least Common Multiple of 3853 and 3858 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3853 and 3858, than apply into the LCM equation.

GCF(3853,3858) = 1
LCM(3853,3858) = ( 3853 × 3858) / 1
LCM(3853,3858) = 14864874 / 1
LCM(3853,3858) = 14864874

Least Common Multiple (LCM) of 3853 and 3858 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3853 and 3858. First we will calculate the prime factors of 3853 and 3858.

Prime Factorization of 3853

Prime factors of 3853 are 3853. Prime factorization of 3853 in exponential form is:

3853 = 38531

Prime Factorization of 3858

Prime factors of 3858 are 2, 3, 643. Prime factorization of 3858 in exponential form is:

3858 = 21 × 31 × 6431

Now multiplying the highest exponent prime factors to calculate the LCM of 3853 and 3858.

LCM(3853,3858) = 38531 × 21 × 31 × 6431
LCM(3853,3858) = 14864874