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What is the Least Common Multiple of 28251 and 28257?

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 28251 and 28257 is 266096169.

LCM(28251,28257) = 266096169

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Least Common Multiple of 28251 and 28257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28251 and 28257, than apply into the LCM equation.

GCF(28251,28257) = 3
LCM(28251,28257) = ( 28251 × 28257) / 3
LCM(28251,28257) = 798288507 / 3
LCM(28251,28257) = 266096169

Least Common Multiple (LCM) of 28251 and 28257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28251 and 28257. First we will calculate the prime factors of 28251 and 28257.

Prime Factorization of 28251

Prime factors of 28251 are 3, 43, 73. Prime factorization of 28251 in exponential form is:

28251 = 32 × 431 × 731

Prime Factorization of 28257

Prime factors of 28257 are 3, 9419. Prime factorization of 28257 in exponential form is:

28257 = 31 × 94191

Now multiplying the highest exponent prime factors to calculate the LCM of 28251 and 28257.

LCM(28251,28257) = 32 × 431 × 731 × 94191
LCM(28251,28257) = 266096169