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What is the Least Common Multiple of 93704 and 93713?

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 93704 and 93713 is 8781282952.

LCM(93704,93713) = 8781282952

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Least Common Multiple of 93704 and 93713 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93704 and 93713, than apply into the LCM equation.

GCF(93704,93713) = 1
LCM(93704,93713) = ( 93704 × 93713) / 1
LCM(93704,93713) = 8781282952 / 1
LCM(93704,93713) = 8781282952

Least Common Multiple (LCM) of 93704 and 93713 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93704 and 93713. First we will calculate the prime factors of 93704 and 93713.

Prime Factorization of 93704

Prime factors of 93704 are 2, 13, 17, 53. Prime factorization of 93704 in exponential form is:

93704 = 23 × 131 × 171 × 531

Prime Factorization of 93713

Prime factors of 93713 are 31, 3023. Prime factorization of 93713 in exponential form is:

93713 = 311 × 30231

Now multiplying the highest exponent prime factors to calculate the LCM of 93704 and 93713.

LCM(93704,93713) = 23 × 131 × 171 × 531 × 311 × 30231
LCM(93704,93713) = 8781282952