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What is the Least Common Multiple of 3859 and 3875?

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 3859 and 3875 is 14953625.

LCM(3859,3875) = 14953625

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Least Common Multiple of 3859 and 3875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3859 and 3875, than apply into the LCM equation.

GCF(3859,3875) = 1
LCM(3859,3875) = ( 3859 × 3875) / 1
LCM(3859,3875) = 14953625 / 1
LCM(3859,3875) = 14953625

Least Common Multiple (LCM) of 3859 and 3875 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3859 and 3875. First we will calculate the prime factors of 3859 and 3875.

Prime Factorization of 3859

Prime factors of 3859 are 17, 227. Prime factorization of 3859 in exponential form is:

3859 = 171 × 2271

Prime Factorization of 3875

Prime factors of 3875 are 5, 31. Prime factorization of 3875 in exponential form is:

3875 = 53 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 3859 and 3875.

LCM(3859,3875) = 171 × 2271 × 53 × 311
LCM(3859,3875) = 14953625