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What is the Least Common Multiple of 93181 and 93200?

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 93181 and 93200 is 8684469200.

LCM(93181,93200) = 8684469200

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Least Common Multiple of 93181 and 93200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93181 and 93200, than apply into the LCM equation.

GCF(93181,93200) = 1
LCM(93181,93200) = ( 93181 × 93200) / 1
LCM(93181,93200) = 8684469200 / 1
LCM(93181,93200) = 8684469200

Least Common Multiple (LCM) of 93181 and 93200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93181 and 93200. First we will calculate the prime factors of 93181 and 93200.

Prime Factorization of 93181

Prime factors of 93181 are 11, 43, 197. Prime factorization of 93181 in exponential form is:

93181 = 111 × 431 × 1971

Prime Factorization of 93200

Prime factors of 93200 are 2, 5, 233. Prime factorization of 93200 in exponential form is:

93200 = 24 × 52 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 93181 and 93200.

LCM(93181,93200) = 111 × 431 × 1971 × 24 × 52 × 2331
LCM(93181,93200) = 8684469200