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What is the Least Common Multiple of 93287 and 93296?

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 93287 and 93296 is 8703303952.

LCM(93287,93296) = 8703303952

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Least Common Multiple of 93287 and 93296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93287 and 93296, than apply into the LCM equation.

GCF(93287,93296) = 1
LCM(93287,93296) = ( 93287 × 93296) / 1
LCM(93287,93296) = 8703303952 / 1
LCM(93287,93296) = 8703303952

Least Common Multiple (LCM) of 93287 and 93296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93287 and 93296. First we will calculate the prime factors of 93287 and 93296.

Prime Factorization of 93287

Prime factors of 93287 are 93287. Prime factorization of 93287 in exponential form is:

93287 = 932871

Prime Factorization of 93296

Prime factors of 93296 are 2, 7, 17. Prime factorization of 93296 in exponential form is:

93296 = 24 × 73 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 93287 and 93296.

LCM(93287,93296) = 932871 × 24 × 73 × 171
LCM(93287,93296) = 8703303952