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What is the Least Common Multiple of 28847 and 28866?

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 28847 and 28866 is 832697502.

LCM(28847,28866) = 832697502

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Least Common Multiple of 28847 and 28866 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28847 and 28866, than apply into the LCM equation.

GCF(28847,28866) = 1
LCM(28847,28866) = ( 28847 × 28866) / 1
LCM(28847,28866) = 832697502 / 1
LCM(28847,28866) = 832697502

Least Common Multiple (LCM) of 28847 and 28866 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28847 and 28866. First we will calculate the prime factors of 28847 and 28866.

Prime Factorization of 28847

Prime factors of 28847 are 7, 13, 317. Prime factorization of 28847 in exponential form is:

28847 = 71 × 131 × 3171

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

Now multiplying the highest exponent prime factors to calculate the LCM of 28847 and 28866.

LCM(28847,28866) = 71 × 131 × 3171 × 21 × 31 × 171 × 2831
LCM(28847,28866) = 832697502