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What is the Least Common Multiple of 93312 and 93323?

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 93312 and 93323 is 8708155776.

LCM(93312,93323) = 8708155776

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Least Common Multiple of 93312 and 93323 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93312 and 93323, than apply into the LCM equation.

GCF(93312,93323) = 1
LCM(93312,93323) = ( 93312 × 93323) / 1
LCM(93312,93323) = 8708155776 / 1
LCM(93312,93323) = 8708155776

Least Common Multiple (LCM) of 93312 and 93323 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93312 and 93323. First we will calculate the prime factors of 93312 and 93323.

Prime Factorization of 93312

Prime factors of 93312 are 2, 3. Prime factorization of 93312 in exponential form is:

93312 = 27 × 36

Prime Factorization of 93323

Prime factors of 93323 are 93323. Prime factorization of 93323 in exponential form is:

93323 = 933231

Now multiplying the highest exponent prime factors to calculate the LCM of 93312 and 93323.

LCM(93312,93323) = 27 × 36 × 933231
LCM(93312,93323) = 8708155776