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What is the Least Common Multiple of 27845 and 27858?

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 27845 and 27858 is 775706010.

LCM(27845,27858) = 775706010

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Least Common Multiple of 27845 and 27858 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27845 and 27858, than apply into the LCM equation.

GCF(27845,27858) = 1
LCM(27845,27858) = ( 27845 × 27858) / 1
LCM(27845,27858) = 775706010 / 1
LCM(27845,27858) = 775706010

Least Common Multiple (LCM) of 27845 and 27858 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27845 and 27858. First we will calculate the prime factors of 27845 and 27858.

Prime Factorization of 27845

Prime factors of 27845 are 5, 5569. Prime factorization of 27845 in exponential form is:

27845 = 51 × 55691

Prime Factorization of 27858

Prime factors of 27858 are 2, 3, 4643. Prime factorization of 27858 in exponential form is:

27858 = 21 × 31 × 46431

Now multiplying the highest exponent prime factors to calculate the LCM of 27845 and 27858.

LCM(27845,27858) = 51 × 55691 × 21 × 31 × 46431
LCM(27845,27858) = 775706010