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What is the Least Common Multiple of 28165 and 28177?

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 28165 and 28177 is 793605205.

LCM(28165,28177) = 793605205

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Least Common Multiple of 28165 and 28177 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28165 and 28177, than apply into the LCM equation.

GCF(28165,28177) = 1
LCM(28165,28177) = ( 28165 × 28177) / 1
LCM(28165,28177) = 793605205 / 1
LCM(28165,28177) = 793605205

Least Common Multiple (LCM) of 28165 and 28177 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28165 and 28177. First we will calculate the prime factors of 28165 and 28177.

Prime Factorization of 28165

Prime factors of 28165 are 5, 43, 131. Prime factorization of 28165 in exponential form is:

28165 = 51 × 431 × 1311

Prime Factorization of 28177

Prime factors of 28177 are 19, 1483. Prime factorization of 28177 in exponential form is:

28177 = 191 × 14831

Now multiplying the highest exponent prime factors to calculate the LCM of 28165 and 28177.

LCM(28165,28177) = 51 × 431 × 1311 × 191 × 14831
LCM(28165,28177) = 793605205