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What is the Least Common Multiple of 27839 and 27849?

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 27839 and 27849 is 775288311.

LCM(27839,27849) = 775288311

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Least Common Multiple of 27839 and 27849 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27839 and 27849, than apply into the LCM equation.

GCF(27839,27849) = 1
LCM(27839,27849) = ( 27839 × 27849) / 1
LCM(27839,27849) = 775288311 / 1
LCM(27839,27849) = 775288311

Least Common Multiple (LCM) of 27839 and 27849 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27839 and 27849. First we will calculate the prime factors of 27839 and 27849.

Prime Factorization of 27839

Prime factors of 27839 are 7, 41, 97. Prime factorization of 27839 in exponential form is:

27839 = 71 × 411 × 971

Prime Factorization of 27849

Prime factors of 27849 are 3, 9283. Prime factorization of 27849 in exponential form is:

27849 = 31 × 92831

Now multiplying the highest exponent prime factors to calculate the LCM of 27839 and 27849.

LCM(27839,27849) = 71 × 411 × 971 × 31 × 92831
LCM(27839,27849) = 775288311