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What is the Least Common Multiple of 28177 and 28189?

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 28177 and 28189 is 794281453.

LCM(28177,28189) = 794281453

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Least Common Multiple of 28177 and 28189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28177 and 28189, than apply into the LCM equation.

GCF(28177,28189) = 1
LCM(28177,28189) = ( 28177 × 28189) / 1
LCM(28177,28189) = 794281453 / 1
LCM(28177,28189) = 794281453

Least Common Multiple (LCM) of 28177 and 28189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28177 and 28189. First we will calculate the prime factors of 28177 and 28189.

Prime Factorization of 28177

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

28177 = 191 × 14831

Prime Factorization of 28189

Prime factors of 28189 are 7, 4027. Prime factorization of 28189 in exponential form is:

28189 = 71 × 40271

Now multiplying the highest exponent prime factors to calculate the LCM of 28177 and 28189.

LCM(28177,28189) = 191 × 14831 × 71 × 40271
LCM(28177,28189) = 794281453