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What is the Least Common Multiple of 94283 and 94296?

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 94283 and 94296 is 8890509768.

LCM(94283,94296) = 8890509768

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Least Common Multiple of 94283 and 94296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94283 and 94296, than apply into the LCM equation.

GCF(94283,94296) = 1
LCM(94283,94296) = ( 94283 × 94296) / 1
LCM(94283,94296) = 8890509768 / 1
LCM(94283,94296) = 8890509768

Least Common Multiple (LCM) of 94283 and 94296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94283 and 94296. First we will calculate the prime factors of 94283 and 94296.

Prime Factorization of 94283

Prime factors of 94283 are 7, 13469. Prime factorization of 94283 in exponential form is:

94283 = 71 × 134691

Prime Factorization of 94296

Prime factors of 94296 are 2, 3, 3929. Prime factorization of 94296 in exponential form is:

94296 = 23 × 31 × 39291

Now multiplying the highest exponent prime factors to calculate the LCM of 94283 and 94296.

LCM(94283,94296) = 71 × 134691 × 23 × 31 × 39291
LCM(94283,94296) = 8890509768