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What is the Least Common Multiple of 93670 and 93683?

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 93670 and 93683 is 8775286610.

LCM(93670,93683) = 8775286610

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Least Common Multiple of 93670 and 93683 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93670 and 93683, than apply into the LCM equation.

GCF(93670,93683) = 1
LCM(93670,93683) = ( 93670 × 93683) / 1
LCM(93670,93683) = 8775286610 / 1
LCM(93670,93683) = 8775286610

Least Common Multiple (LCM) of 93670 and 93683 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93670 and 93683. First we will calculate the prime factors of 93670 and 93683.

Prime Factorization of 93670

Prime factors of 93670 are 2, 5, 17, 19, 29. Prime factorization of 93670 in exponential form is:

93670 = 21 × 51 × 171 × 191 × 291

Prime Factorization of 93683

Prime factors of 93683 are 93683. Prime factorization of 93683 in exponential form is:

93683 = 936831

Now multiplying the highest exponent prime factors to calculate the LCM of 93670 and 93683.

LCM(93670,93683) = 21 × 51 × 171 × 191 × 291 × 936831
LCM(93670,93683) = 8775286610