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What is the Least Common Multiple of 28866 and 28877?

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 28866 and 28877 is 833563482.

LCM(28866,28877) = 833563482

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Least Common Multiple of 28866 and 28877 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28866 and 28877, than apply into the LCM equation.

GCF(28866,28877) = 1
LCM(28866,28877) = ( 28866 × 28877) / 1
LCM(28866,28877) = 833563482 / 1
LCM(28866,28877) = 833563482

Least Common Multiple (LCM) of 28866 and 28877 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28866 and 28877. First we will calculate the prime factors of 28866 and 28877.

Prime Factorization of 28866

Prime factors of 28866 are 2, 3, 17, 283. Prime factorization of 28866 in exponential form is:

28866 = 21 × 31 × 171 × 2831

Prime Factorization of 28877

Prime factors of 28877 are 67, 431. Prime factorization of 28877 in exponential form is:

28877 = 671 × 4311

Now multiplying the highest exponent prime factors to calculate the LCM of 28866 and 28877.

LCM(28866,28877) = 21 × 31 × 171 × 2831 × 671 × 4311
LCM(28866,28877) = 833563482