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What is the Least Common Multiple of 91183 and 91189?

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 91183 and 91189 is 8314886587.

LCM(91183,91189) = 8314886587

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Least Common Multiple of 91183 and 91189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91183 and 91189, than apply into the LCM equation.

GCF(91183,91189) = 1
LCM(91183,91189) = ( 91183 × 91189) / 1
LCM(91183,91189) = 8314886587 / 1
LCM(91183,91189) = 8314886587

Least Common Multiple (LCM) of 91183 and 91189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91183 and 91189. First we will calculate the prime factors of 91183 and 91189.

Prime Factorization of 91183

Prime factors of 91183 are 91183. Prime factorization of 91183 in exponential form is:

91183 = 911831

Prime Factorization of 91189

Prime factors of 91189 are 7, 1861. Prime factorization of 91189 in exponential form is:

91189 = 72 × 18611

Now multiplying the highest exponent prime factors to calculate the LCM of 91183 and 91189.

LCM(91183,91189) = 911831 × 72 × 18611
LCM(91183,91189) = 8314886587