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What is the Least Common Multiple of 93082 and 93095?

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 93095 is 8665468790.

LCM(93082,93095) = 8665468790

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Least Common Multiple of 93082 and 93095 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 93095, than apply into the LCM equation.

GCF(93082,93095) = 1
LCM(93082,93095) = ( 93082 × 93095) / 1
LCM(93082,93095) = 8665468790 / 1
LCM(93082,93095) = 8665468790

Least Common Multiple (LCM) of 93082 and 93095 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93082 and 93095. First we will calculate the prime factors of 93082 and 93095.

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 93095

Prime factors of 93095 are 5, 43, 433. Prime factorization of 93095 in exponential form is:

93095 = 51 × 431 × 4331

Now multiplying the highest exponent prime factors to calculate the LCM of 93082 and 93095.

LCM(93082,93095) = 21 × 111 × 42311 × 51 × 431 × 4331
LCM(93082,93095) = 8665468790