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What is the Least Common Multiple of 28366 and 28373?

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 28366 and 28373 is 804828518.

LCM(28366,28373) = 804828518

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Least Common Multiple of 28366 and 28373 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28366 and 28373, than apply into the LCM equation.

GCF(28366,28373) = 1
LCM(28366,28373) = ( 28366 × 28373) / 1
LCM(28366,28373) = 804828518 / 1
LCM(28366,28373) = 804828518

Least Common Multiple (LCM) of 28366 and 28373 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28366 and 28373. First we will calculate the prime factors of 28366 and 28373.

Prime Factorization of 28366

Prime factors of 28366 are 2, 13, 1091. Prime factorization of 28366 in exponential form is:

28366 = 21 × 131 × 10911

Prime Factorization of 28373

Prime factors of 28373 are 17, 1669. Prime factorization of 28373 in exponential form is:

28373 = 171 × 16691

Now multiplying the highest exponent prime factors to calculate the LCM of 28366 and 28373.

LCM(28366,28373) = 21 × 131 × 10911 × 171 × 16691
LCM(28366,28373) = 804828518