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What is the Least Common Multiple of 47847 and 47858?

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 47847 and 47858 is 2289861726.

LCM(47847,47858) = 2289861726

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Least Common Multiple of 47847 and 47858 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47847 and 47858, than apply into the LCM equation.

GCF(47847,47858) = 1
LCM(47847,47858) = ( 47847 × 47858) / 1
LCM(47847,47858) = 2289861726 / 1
LCM(47847,47858) = 2289861726

Least Common Multiple (LCM) of 47847 and 47858 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47847 and 47858. First we will calculate the prime factors of 47847 and 47858.

Prime Factorization of 47847

Prime factors of 47847 are 3, 41, 389. Prime factorization of 47847 in exponential form is:

47847 = 31 × 411 × 3891

Prime Factorization of 47858

Prime factors of 47858 are 2, 23929. Prime factorization of 47858 in exponential form is:

47858 = 21 × 239291

Now multiplying the highest exponent prime factors to calculate the LCM of 47847 and 47858.

LCM(47847,47858) = 31 × 411 × 3891 × 21 × 239291
LCM(47847,47858) = 2289861726