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What is the Least Common Multiple of 94585 and 94593?

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 94585 and 94593 is 8947078905.

LCM(94585,94593) = 8947078905

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Least Common Multiple of 94585 and 94593 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94585 and 94593, than apply into the LCM equation.

GCF(94585,94593) = 1
LCM(94585,94593) = ( 94585 × 94593) / 1
LCM(94585,94593) = 8947078905 / 1
LCM(94585,94593) = 8947078905

Least Common Multiple (LCM) of 94585 and 94593 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94585 and 94593. First we will calculate the prime factors of 94585 and 94593.

Prime Factorization of 94585

Prime factors of 94585 are 5, 18917. Prime factorization of 94585 in exponential form is:

94585 = 51 × 189171

Prime Factorization of 94593

Prime factors of 94593 are 3, 31531. Prime factorization of 94593 in exponential form is:

94593 = 31 × 315311

Now multiplying the highest exponent prime factors to calculate the LCM of 94585 and 94593.

LCM(94585,94593) = 51 × 189171 × 31 × 315311
LCM(94585,94593) = 8947078905