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What is the Least Common Multiple of 93183 and 93196?

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 93196 is 8684282868.

LCM(93183,93196) = 8684282868

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Least Common Multiple of 93183 and 93196 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 93196, than apply into the LCM equation.

GCF(93183,93196) = 1
LCM(93183,93196) = ( 93183 × 93196) / 1
LCM(93183,93196) = 8684282868 / 1
LCM(93183,93196) = 8684282868

Least Common Multiple (LCM) of 93183 and 93196 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93183 and 93196. First we will calculate the prime factors of 93183 and 93196.

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 93196

Prime factors of 93196 are 2, 23, 1013. Prime factorization of 93196 in exponential form is:

93196 = 22 × 231 × 10131

Now multiplying the highest exponent prime factors to calculate the LCM of 93183 and 93196.

LCM(93183,93196) = 31 × 891 × 3491 × 22 × 231 × 10131
LCM(93183,93196) = 8684282868