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What is the Least Common Multiple of 94321 and 94333?

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 94321 and 94333 is 8897582893.

LCM(94321,94333) = 8897582893

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Least Common Multiple of 94321 and 94333 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94321 and 94333, than apply into the LCM equation.

GCF(94321,94333) = 1
LCM(94321,94333) = ( 94321 × 94333) / 1
LCM(94321,94333) = 8897582893 / 1
LCM(94321,94333) = 8897582893

Least Common Multiple (LCM) of 94321 and 94333 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94321 and 94333. First we will calculate the prime factors of 94321 and 94333.

Prime Factorization of 94321

Prime factors of 94321 are 94321. Prime factorization of 94321 in exponential form is:

94321 = 943211

Prime Factorization of 94333

Prime factors of 94333 are 17, 31, 179. Prime factorization of 94333 in exponential form is:

94333 = 171 × 311 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 94321 and 94333.

LCM(94321,94333) = 943211 × 171 × 311 × 1791
LCM(94321,94333) = 8897582893