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What is the Least Common Multiple of 93186 and 93199?

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 93186 and 93199 is 8684842014.

LCM(93186,93199) = 8684842014

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Least Common Multiple of 93186 and 93199 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93186 and 93199, than apply into the LCM equation.

GCF(93186,93199) = 1
LCM(93186,93199) = ( 93186 × 93199) / 1
LCM(93186,93199) = 8684842014 / 1
LCM(93186,93199) = 8684842014

Least Common Multiple (LCM) of 93186 and 93199 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93186 and 93199. First we will calculate the prime factors of 93186 and 93199.

Prime Factorization of 93186

Prime factors of 93186 are 2, 3, 31, 167. Prime factorization of 93186 in exponential form is:

93186 = 21 × 32 × 311 × 1671

Prime Factorization of 93199

Prime factors of 93199 are 93199. Prime factorization of 93199 in exponential form is:

93199 = 931991

Now multiplying the highest exponent prime factors to calculate the LCM of 93186 and 93199.

LCM(93186,93199) = 21 × 32 × 311 × 1671 × 931991
LCM(93186,93199) = 8684842014