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What is the Least Common Multiple of 93182 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 93182 and 93199 is 8684469218.

LCM(93182,93199) = 8684469218

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Least Common Multiple of 93182 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 93182 and 93199, than apply into the LCM equation.

GCF(93182,93199) = 1
LCM(93182,93199) = ( 93182 × 93199) / 1
LCM(93182,93199) = 8684469218 / 1
LCM(93182,93199) = 8684469218

Least Common Multiple (LCM) of 93182 and 93199 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93182 and 93199. First we will calculate the prime factors of 93182 and 93199.

Prime Factorization of 93182

Prime factors of 93182 are 2, 46591. Prime factorization of 93182 in exponential form is:

93182 = 21 × 465911

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 93182 and 93199.

LCM(93182,93199) = 21 × 465911 × 931991
LCM(93182,93199) = 8684469218