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What is the Least Common Multiple of 3833 and 3842?

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 3833 and 3842 is 14726386.

LCM(3833,3842) = 14726386

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Least Common Multiple of 3833 and 3842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3833 and 3842, than apply into the LCM equation.

GCF(3833,3842) = 1
LCM(3833,3842) = ( 3833 × 3842) / 1
LCM(3833,3842) = 14726386 / 1
LCM(3833,3842) = 14726386

Least Common Multiple (LCM) of 3833 and 3842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3833 and 3842. First we will calculate the prime factors of 3833 and 3842.

Prime Factorization of 3833

Prime factors of 3833 are 3833. Prime factorization of 3833 in exponential form is:

3833 = 38331

Prime Factorization of 3842

Prime factors of 3842 are 2, 17, 113. Prime factorization of 3842 in exponential form is:

3842 = 21 × 171 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 3833 and 3842.

LCM(3833,3842) = 38331 × 21 × 171 × 1131
LCM(3833,3842) = 14726386