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What is the Least Common Multiple of 93376 and 93392?

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 93376 and 93392 is 545035712.

LCM(93376,93392) = 545035712

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Least Common Multiple of 93376 and 93392 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93376 and 93392, than apply into the LCM equation.

GCF(93376,93392) = 16
LCM(93376,93392) = ( 93376 × 93392) / 16
LCM(93376,93392) = 8720571392 / 16
LCM(93376,93392) = 545035712

Least Common Multiple (LCM) of 93376 and 93392 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93376 and 93392. First we will calculate the prime factors of 93376 and 93392.

Prime Factorization of 93376

Prime factors of 93376 are 2, 1459. Prime factorization of 93376 in exponential form is:

93376 = 26 × 14591

Prime Factorization of 93392

Prime factors of 93392 are 2, 13, 449. Prime factorization of 93392 in exponential form is:

93392 = 24 × 131 × 4491

Now multiplying the highest exponent prime factors to calculate the LCM of 93376 and 93392.

LCM(93376,93392) = 26 × 14591 × 131 × 4491
LCM(93376,93392) = 545035712