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What is the Least Common Multiple of 28779 and 28796?

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 28796 is 828720084.

LCM(28779,28796) = 828720084

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Least Common Multiple of 28779 and 28796 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 28796, than apply into the LCM equation.

GCF(28779,28796) = 1
LCM(28779,28796) = ( 28779 × 28796) / 1
LCM(28779,28796) = 828720084 / 1
LCM(28779,28796) = 828720084

Least Common Multiple (LCM) of 28779 and 28796 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28779 and 28796. First we will calculate the prime factors of 28779 and 28796.

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 28796

Prime factors of 28796 are 2, 23, 313. Prime factorization of 28796 in exponential form is:

28796 = 22 × 231 × 3131

Now multiplying the highest exponent prime factors to calculate the LCM of 28779 and 28796.

LCM(28779,28796) = 31 × 531 × 1811 × 22 × 231 × 3131
LCM(28779,28796) = 828720084