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What is the Least Common Multiple of 27889 and 27893?

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 27889 and 27893 is 777907877.

LCM(27889,27893) = 777907877

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Least Common Multiple of 27889 and 27893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27889 and 27893, than apply into the LCM equation.

GCF(27889,27893) = 1
LCM(27889,27893) = ( 27889 × 27893) / 1
LCM(27889,27893) = 777907877 / 1
LCM(27889,27893) = 777907877

Least Common Multiple (LCM) of 27889 and 27893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27889 and 27893. First we will calculate the prime factors of 27889 and 27893.

Prime Factorization of 27889

Prime factors of 27889 are 167. Prime factorization of 27889 in exponential form is:

27889 = 1672

Prime Factorization of 27893

Prime factors of 27893 are 27893. Prime factorization of 27893 in exponential form is:

27893 = 278931

Now multiplying the highest exponent prime factors to calculate the LCM of 27889 and 27893.

LCM(27889,27893) = 1672 × 278931
LCM(27889,27893) = 777907877