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What is the Least Common Multiple of 93275 and 93292?

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 93275 and 93292 is 8701811300.

LCM(93275,93292) = 8701811300

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Least Common Multiple of 93275 and 93292 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93275 and 93292, than apply into the LCM equation.

GCF(93275,93292) = 1
LCM(93275,93292) = ( 93275 × 93292) / 1
LCM(93275,93292) = 8701811300 / 1
LCM(93275,93292) = 8701811300

Least Common Multiple (LCM) of 93275 and 93292 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93275 and 93292. First we will calculate the prime factors of 93275 and 93292.

Prime Factorization of 93275

Prime factors of 93275 are 5, 7, 13, 41. Prime factorization of 93275 in exponential form is:

93275 = 52 × 71 × 131 × 411

Prime Factorization of 93292

Prime factors of 93292 are 2, 83, 281. Prime factorization of 93292 in exponential form is:

93292 = 22 × 831 × 2811

Now multiplying the highest exponent prime factors to calculate the LCM of 93275 and 93292.

LCM(93275,93292) = 52 × 71 × 131 × 411 × 22 × 831 × 2811
LCM(93275,93292) = 8701811300