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What is the Least Common Multiple of 93999 and 94005?

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 93999 and 94005 is 2945458665.

LCM(93999,94005) = 2945458665

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Least Common Multiple of 93999 and 94005 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93999 and 94005, than apply into the LCM equation.

GCF(93999,94005) = 3
LCM(93999,94005) = ( 93999 × 94005) / 3
LCM(93999,94005) = 8836375995 / 3
LCM(93999,94005) = 2945458665

Least Common Multiple (LCM) of 93999 and 94005 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93999 and 94005. First we will calculate the prime factors of 93999 and 94005.

Prime Factorization of 93999

Prime factors of 93999 are 3, 31333. Prime factorization of 93999 in exponential form is:

93999 = 31 × 313331

Prime Factorization of 94005

Prime factors of 94005 are 3, 5, 2089. Prime factorization of 94005 in exponential form is:

94005 = 32 × 51 × 20891

Now multiplying the highest exponent prime factors to calculate the LCM of 93999 and 94005.

LCM(93999,94005) = 32 × 313331 × 51 × 20891
LCM(93999,94005) = 2945458665