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What is the Least Common Multiple of 83169 and 83189?

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 83169 and 83189 is 6918745941.

LCM(83169,83189) = 6918745941

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Least Common Multiple of 83169 and 83189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83169 and 83189, than apply into the LCM equation.

GCF(83169,83189) = 1
LCM(83169,83189) = ( 83169 × 83189) / 1
LCM(83169,83189) = 6918745941 / 1
LCM(83169,83189) = 6918745941

Least Common Multiple (LCM) of 83169 and 83189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83169 and 83189. First we will calculate the prime factors of 83169 and 83189.

Prime Factorization of 83169

Prime factors of 83169 are 3, 9241. Prime factorization of 83169 in exponential form is:

83169 = 32 × 92411

Prime Factorization of 83189

Prime factors of 83189 are 41, 2029. Prime factorization of 83189 in exponential form is:

83189 = 411 × 20291

Now multiplying the highest exponent prime factors to calculate the LCM of 83169 and 83189.

LCM(83169,83189) = 32 × 92411 × 411 × 20291
LCM(83169,83189) = 6918745941