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What is the Least Common Multiple of 52881 and 52886?

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 52886 is 2796664566.

LCM(52881,52886) = 2796664566

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Least Common Multiple of 52881 and 52886 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 52886, than apply into the LCM equation.

GCF(52881,52886) = 1
LCM(52881,52886) = ( 52881 × 52886) / 1
LCM(52881,52886) = 2796664566 / 1
LCM(52881,52886) = 2796664566

Least Common Multiple (LCM) of 52881 and 52886 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52881 and 52886. First we will calculate the prime factors of 52881 and 52886.

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 52886

Prime factors of 52886 are 2, 31, 853. Prime factorization of 52886 in exponential form is:

52886 = 21 × 311 × 8531

Now multiplying the highest exponent prime factors to calculate the LCM of 52881 and 52886.

LCM(52881,52886) = 31 × 176271 × 21 × 311 × 8531
LCM(52881,52886) = 2796664566