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What is the Least Common Multiple of 28189 and 28194?

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 28189 and 28194 is 794760666.

LCM(28189,28194) = 794760666

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Least Common Multiple of 28189 and 28194 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28189 and 28194, than apply into the LCM equation.

GCF(28189,28194) = 1
LCM(28189,28194) = ( 28189 × 28194) / 1
LCM(28189,28194) = 794760666 / 1
LCM(28189,28194) = 794760666

Least Common Multiple (LCM) of 28189 and 28194 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28189 and 28194. First we will calculate the prime factors of 28189 and 28194.

Prime Factorization of 28189

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

28189 = 71 × 40271

Prime Factorization of 28194

Prime factors of 28194 are 2, 3, 37, 127. Prime factorization of 28194 in exponential form is:

28194 = 21 × 31 × 371 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 28189 and 28194.

LCM(28189,28194) = 71 × 40271 × 21 × 31 × 371 × 1271
LCM(28189,28194) = 794760666