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What is the Least Common Multiple of 28779 and 28797?

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 28779 and 28797 is 276249621.

LCM(28779,28797) = 276249621

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Least Common Multiple of 28779 and 28797 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28779 and 28797, than apply into the LCM equation.

GCF(28779,28797) = 3
LCM(28779,28797) = ( 28779 × 28797) / 3
LCM(28779,28797) = 828748863 / 3
LCM(28779,28797) = 276249621

Least Common Multiple (LCM) of 28779 and 28797 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28779 and 28797. First we will calculate the prime factors of 28779 and 28797.

Prime Factorization of 28779

Prime factors of 28779 are 3, 53, 181. Prime factorization of 28779 in exponential form is:

28779 = 31 × 531 × 1811

Prime Factorization of 28797

Prime factors of 28797 are 3, 29, 331. Prime factorization of 28797 in exponential form is:

28797 = 31 × 291 × 3311

Now multiplying the highest exponent prime factors to calculate the LCM of 28779 and 28797.

LCM(28779,28797) = 31 × 531 × 1811 × 291 × 3311
LCM(28779,28797) = 276249621