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What is the Least Common Multiple of 28708 and 28723?

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 28708 and 28723 is 824579884.

LCM(28708,28723) = 824579884

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Least Common Multiple of 28708 and 28723 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28708 and 28723, than apply into the LCM equation.

GCF(28708,28723) = 1
LCM(28708,28723) = ( 28708 × 28723) / 1
LCM(28708,28723) = 824579884 / 1
LCM(28708,28723) = 824579884

Least Common Multiple (LCM) of 28708 and 28723 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28708 and 28723. First we will calculate the prime factors of 28708 and 28723.

Prime Factorization of 28708

Prime factors of 28708 are 2, 7177. Prime factorization of 28708 in exponential form is:

28708 = 22 × 71771

Prime Factorization of 28723

Prime factors of 28723 are 28723. Prime factorization of 28723 in exponential form is:

28723 = 287231

Now multiplying the highest exponent prime factors to calculate the LCM of 28708 and 28723.

LCM(28708,28723) = 22 × 71771 × 287231
LCM(28708,28723) = 824579884