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What is the Least Common Multiple of 93082 and 93096?

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 93082 and 93096 is 4332780936.

LCM(93082,93096) = 4332780936

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Least Common Multiple of 93082 and 93096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93082 and 93096, than apply into the LCM equation.

GCF(93082,93096) = 2
LCM(93082,93096) = ( 93082 × 93096) / 2
LCM(93082,93096) = 8665561872 / 2
LCM(93082,93096) = 4332780936

Least Common Multiple (LCM) of 93082 and 93096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93082 and 93096. First we will calculate the prime factors of 93082 and 93096.

Prime Factorization of 93082

Prime factors of 93082 are 2, 11, 4231. Prime factorization of 93082 in exponential form is:

93082 = 21 × 111 × 42311

Prime Factorization of 93096

Prime factors of 93096 are 2, 3, 431. Prime factorization of 93096 in exponential form is:

93096 = 23 × 33 × 4311

Now multiplying the highest exponent prime factors to calculate the LCM of 93082 and 93096.

LCM(93082,93096) = 23 × 111 × 42311 × 33 × 4311
LCM(93082,93096) = 4332780936