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What is the Least Common Multiple of 93469 and 93482?

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 93469 and 93482 is 8737669058.

LCM(93469,93482) = 8737669058

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Least Common Multiple of 93469 and 93482 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93469 and 93482, than apply into the LCM equation.

GCF(93469,93482) = 1
LCM(93469,93482) = ( 93469 × 93482) / 1
LCM(93469,93482) = 8737669058 / 1
LCM(93469,93482) = 8737669058

Least Common Multiple (LCM) of 93469 and 93482 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93469 and 93482. First we will calculate the prime factors of 93469 and 93482.

Prime Factorization of 93469

Prime factors of 93469 are 151, 619. Prime factorization of 93469 in exponential form is:

93469 = 1511 × 6191

Prime Factorization of 93482

Prime factors of 93482 are 2, 43, 1087. Prime factorization of 93482 in exponential form is:

93482 = 21 × 431 × 10871

Now multiplying the highest exponent prime factors to calculate the LCM of 93469 and 93482.

LCM(93469,93482) = 1511 × 6191 × 21 × 431 × 10871
LCM(93469,93482) = 8737669058