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What is the Least Common Multiple of 3847 and 3859?

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 3847 and 3859 is 14845573.

LCM(3847,3859) = 14845573

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Least Common Multiple of 3847 and 3859 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3847 and 3859, than apply into the LCM equation.

GCF(3847,3859) = 1
LCM(3847,3859) = ( 3847 × 3859) / 1
LCM(3847,3859) = 14845573 / 1
LCM(3847,3859) = 14845573

Least Common Multiple (LCM) of 3847 and 3859 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3847 and 3859. First we will calculate the prime factors of 3847 and 3859.

Prime Factorization of 3847

Prime factors of 3847 are 3847. Prime factorization of 3847 in exponential form is:

3847 = 38471

Prime Factorization of 3859

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

3859 = 171 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 3847 and 3859.

LCM(3847,3859) = 38471 × 171 × 2271
LCM(3847,3859) = 14845573