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What is the Least Common Multiple of 28267 and 28274?

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 28267 and 28274 is 799221158.

LCM(28267,28274) = 799221158

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Least Common Multiple of 28267 and 28274 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28267 and 28274, than apply into the LCM equation.

GCF(28267,28274) = 1
LCM(28267,28274) = ( 28267 × 28274) / 1
LCM(28267,28274) = 799221158 / 1
LCM(28267,28274) = 799221158

Least Common Multiple (LCM) of 28267 and 28274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28267 and 28274. First we will calculate the prime factors of 28267 and 28274.

Prime Factorization of 28267

Prime factors of 28267 are 23, 1229. Prime factorization of 28267 in exponential form is:

28267 = 231 × 12291

Prime Factorization of 28274

Prime factors of 28274 are 2, 67, 211. Prime factorization of 28274 in exponential form is:

28274 = 21 × 671 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 28267 and 28274.

LCM(28267,28274) = 231 × 12291 × 21 × 671 × 2111
LCM(28267,28274) = 799221158