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What is the Least Common Multiple of 3837 and 3854?

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 3837 and 3854 is 14787798.

LCM(3837,3854) = 14787798

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Least Common Multiple of 3837 and 3854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3837 and 3854, than apply into the LCM equation.

GCF(3837,3854) = 1
LCM(3837,3854) = ( 3837 × 3854) / 1
LCM(3837,3854) = 14787798 / 1
LCM(3837,3854) = 14787798

Least Common Multiple (LCM) of 3837 and 3854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3837 and 3854. First we will calculate the prime factors of 3837 and 3854.

Prime Factorization of 3837

Prime factors of 3837 are 3, 1279. Prime factorization of 3837 in exponential form is:

3837 = 31 × 12791

Prime Factorization of 3854

Prime factors of 3854 are 2, 41, 47. Prime factorization of 3854 in exponential form is:

3854 = 21 × 411 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 3837 and 3854.

LCM(3837,3854) = 31 × 12791 × 21 × 411 × 471
LCM(3837,3854) = 14787798