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What is the Least Common Multiple of 27891 and 27909?

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 27891 and 27909 is 86489991.

LCM(27891,27909) = 86489991

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Least Common Multiple of 27891 and 27909 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27891 and 27909, than apply into the LCM equation.

GCF(27891,27909) = 9
LCM(27891,27909) = ( 27891 × 27909) / 9
LCM(27891,27909) = 778409919 / 9
LCM(27891,27909) = 86489991

Least Common Multiple (LCM) of 27891 and 27909 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27891 and 27909. First we will calculate the prime factors of 27891 and 27909.

Prime Factorization of 27891

Prime factors of 27891 are 3, 1033. Prime factorization of 27891 in exponential form is:

27891 = 33 × 10331

Prime Factorization of 27909

Prime factors of 27909 are 3, 7, 443. Prime factorization of 27909 in exponential form is:

27909 = 32 × 71 × 4431

Now multiplying the highest exponent prime factors to calculate the LCM of 27891 and 27909.

LCM(27891,27909) = 33 × 10331 × 71 × 4431
LCM(27891,27909) = 86489991