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What is the Least Common Multiple of 52881 and 52889?

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 52881 and 52889 is 2796823209.

LCM(52881,52889) = 2796823209

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Least Common Multiple of 52881 and 52889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52881 and 52889, than apply into the LCM equation.

GCF(52881,52889) = 1
LCM(52881,52889) = ( 52881 × 52889) / 1
LCM(52881,52889) = 2796823209 / 1
LCM(52881,52889) = 2796823209

Least Common Multiple (LCM) of 52881 and 52889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52881 and 52889. First we will calculate the prime factors of 52881 and 52889.

Prime Factorization of 52881

Prime factors of 52881 are 3, 17627. Prime factorization of 52881 in exponential form is:

52881 = 31 × 176271

Prime Factorization of 52889

Prime factors of 52889 are 52889. Prime factorization of 52889 in exponential form is:

52889 = 528891

Now multiplying the highest exponent prime factors to calculate the LCM of 52881 and 52889.

LCM(52881,52889) = 31 × 176271 × 528891
LCM(52881,52889) = 2796823209