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What is the Least Common Multiple of 28767 and 28785?

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 28767 and 28785 is 276019365.

LCM(28767,28785) = 276019365

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Least Common Multiple of 28767 and 28785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28767 and 28785, than apply into the LCM equation.

GCF(28767,28785) = 3
LCM(28767,28785) = ( 28767 × 28785) / 3
LCM(28767,28785) = 828058095 / 3
LCM(28767,28785) = 276019365

Least Common Multiple (LCM) of 28767 and 28785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28767 and 28785. First we will calculate the prime factors of 28767 and 28785.

Prime Factorization of 28767

Prime factors of 28767 are 3, 43, 223. Prime factorization of 28767 in exponential form is:

28767 = 31 × 431 × 2231

Prime Factorization of 28785

Prime factors of 28785 are 3, 5, 19, 101. Prime factorization of 28785 in exponential form is:

28785 = 31 × 51 × 191 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 28767 and 28785.

LCM(28767,28785) = 31 × 431 × 2231 × 51 × 191 × 1011
LCM(28767,28785) = 276019365