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What is the Least Common Multiple of 93384 and 93403?

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 93384 and 93403 is 8722345752.

LCM(93384,93403) = 8722345752

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Least Common Multiple of 93384 and 93403 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93384 and 93403, than apply into the LCM equation.

GCF(93384,93403) = 1
LCM(93384,93403) = ( 93384 × 93403) / 1
LCM(93384,93403) = 8722345752 / 1
LCM(93384,93403) = 8722345752

Least Common Multiple (LCM) of 93384 and 93403 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93384 and 93403. First we will calculate the prime factors of 93384 and 93403.

Prime Factorization of 93384

Prime factors of 93384 are 2, 3, 1297. Prime factorization of 93384 in exponential form is:

93384 = 23 × 32 × 12971

Prime Factorization of 93403

Prime factors of 93403 are 23, 31, 131. Prime factorization of 93403 in exponential form is:

93403 = 231 × 311 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 93384 and 93403.

LCM(93384,93403) = 23 × 32 × 12971 × 231 × 311 × 1311
LCM(93384,93403) = 8722345752