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What is the Least Common Multiple of 93183 and 93187?

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 93183 and 93187 is 8683444221.

LCM(93183,93187) = 8683444221

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Least Common Multiple of 93183 and 93187 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93183 and 93187, than apply into the LCM equation.

GCF(93183,93187) = 1
LCM(93183,93187) = ( 93183 × 93187) / 1
LCM(93183,93187) = 8683444221 / 1
LCM(93183,93187) = 8683444221

Least Common Multiple (LCM) of 93183 and 93187 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93183 and 93187. First we will calculate the prime factors of 93183 and 93187.

Prime Factorization of 93183

Prime factors of 93183 are 3, 89, 349. Prime factorization of 93183 in exponential form is:

93183 = 31 × 891 × 3491

Prime Factorization of 93187

Prime factors of 93187 are 93187. Prime factorization of 93187 in exponential form is:

93187 = 931871

Now multiplying the highest exponent prime factors to calculate the LCM of 93183 and 93187.

LCM(93183,93187) = 31 × 891 × 3491 × 931871
LCM(93183,93187) = 8683444221