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What is the Least Common Multiple of 28767 and 28774?

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 28774 is 827741658.

LCM(28767,28774) = 827741658

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Least Common Multiple of 28767 and 28774 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 28774, than apply into the LCM equation.

GCF(28767,28774) = 1
LCM(28767,28774) = ( 28767 × 28774) / 1
LCM(28767,28774) = 827741658 / 1
LCM(28767,28774) = 827741658

Least Common Multiple (LCM) of 28767 and 28774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28767 and 28774. First we will calculate the prime factors of 28767 and 28774.

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 28774

Prime factors of 28774 are 2, 14387. Prime factorization of 28774 in exponential form is:

28774 = 21 × 143871

Now multiplying the highest exponent prime factors to calculate the LCM of 28767 and 28774.

LCM(28767,28774) = 31 × 431 × 2231 × 21 × 143871
LCM(28767,28774) = 827741658