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What is the Least Common Multiple of 28373 and 28391?

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 28373 and 28391 is 805537843.

LCM(28373,28391) = 805537843

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Least Common Multiple of 28373 and 28391 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28373 and 28391, than apply into the LCM equation.

GCF(28373,28391) = 1
LCM(28373,28391) = ( 28373 × 28391) / 1
LCM(28373,28391) = 805537843 / 1
LCM(28373,28391) = 805537843

Least Common Multiple (LCM) of 28373 and 28391 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28373 and 28391. First we will calculate the prime factors of 28373 and 28391.

Prime Factorization of 28373

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

28373 = 171 × 16691

Prime Factorization of 28391

Prime factors of 28391 are 11, 29, 89. Prime factorization of 28391 in exponential form is:

28391 = 111 × 291 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 28373 and 28391.

LCM(28373,28391) = 171 × 16691 × 111 × 291 × 891
LCM(28373,28391) = 805537843