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What is the Least Common Multiple of 94585 and 94592?

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 94592 is 8946984320.

LCM(94585,94592) = 8946984320

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Least Common Multiple of 94585 and 94592 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 94592, than apply into the LCM equation.

GCF(94585,94592) = 1
LCM(94585,94592) = ( 94585 × 94592) / 1
LCM(94585,94592) = 8946984320 / 1
LCM(94585,94592) = 8946984320

Least Common Multiple (LCM) of 94585 and 94592 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94585 and 94592. First we will calculate the prime factors of 94585 and 94592.

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 94592

Prime factors of 94592 are 2, 739. Prime factorization of 94592 in exponential form is:

94592 = 27 × 7391

Now multiplying the highest exponent prime factors to calculate the LCM of 94585 and 94592.

LCM(94585,94592) = 51 × 189171 × 27 × 7391
LCM(94585,94592) = 8946984320