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What is the Least Common Multiple of 28171 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 28171 and 28189 is 794112319.

LCM(28171,28189) = 794112319

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Least Common Multiple of 28171 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 28171 and 28189, than apply into the LCM equation.

GCF(28171,28189) = 1
LCM(28171,28189) = ( 28171 × 28189) / 1
LCM(28171,28189) = 794112319 / 1
LCM(28171,28189) = 794112319

Least Common Multiple (LCM) of 28171 and 28189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28171 and 28189. First we will calculate the prime factors of 28171 and 28189.

Prime Factorization of 28171

Prime factors of 28171 are 11, 13, 197. Prime factorization of 28171 in exponential form is:

28171 = 111 × 131 × 1971

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 28171 and 28189.

LCM(28171,28189) = 111 × 131 × 1971 × 71 × 40271
LCM(28171,28189) = 794112319