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What is the Least Common Multiple of 27891 and 27911?

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 27911 is 778465701.

LCM(27891,27911) = 778465701

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Least Common Multiple of 27891 and 27911 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 27911, than apply into the LCM equation.

GCF(27891,27911) = 1
LCM(27891,27911) = ( 27891 × 27911) / 1
LCM(27891,27911) = 778465701 / 1
LCM(27891,27911) = 778465701

Least Common Multiple (LCM) of 27891 and 27911 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27891 and 27911. First we will calculate the prime factors of 27891 and 27911.

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 27911

Prime factors of 27911 are 13, 19, 113. Prime factorization of 27911 in exponential form is:

27911 = 131 × 191 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 27891 and 27911.

LCM(27891,27911) = 33 × 10331 × 131 × 191 × 1131
LCM(27891,27911) = 778465701