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What is the Least Common Multiple of 27846 and 27857?

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 27846 and 27857 is 775706022.

LCM(27846,27857) = 775706022

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Least Common Multiple of 27846 and 27857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27846 and 27857, than apply into the LCM equation.

GCF(27846,27857) = 1
LCM(27846,27857) = ( 27846 × 27857) / 1
LCM(27846,27857) = 775706022 / 1
LCM(27846,27857) = 775706022

Least Common Multiple (LCM) of 27846 and 27857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27846 and 27857. First we will calculate the prime factors of 27846 and 27857.

Prime Factorization of 27846

Prime factors of 27846 are 2, 3, 7, 13, 17. Prime factorization of 27846 in exponential form is:

27846 = 21 × 32 × 71 × 131 × 171

Prime Factorization of 27857

Prime factors of 27857 are 89, 313. Prime factorization of 27857 in exponential form is:

27857 = 891 × 3131

Now multiplying the highest exponent prime factors to calculate the LCM of 27846 and 27857.

LCM(27846,27857) = 21 × 32 × 71 × 131 × 171 × 891 × 3131
LCM(27846,27857) = 775706022