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What is the Least Common Multiple of 94319 and 94326?

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 94319 and 94326 is 8896733994.

LCM(94319,94326) = 8896733994

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Least Common Multiple of 94319 and 94326 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94319 and 94326, than apply into the LCM equation.

GCF(94319,94326) = 1
LCM(94319,94326) = ( 94319 × 94326) / 1
LCM(94319,94326) = 8896733994 / 1
LCM(94319,94326) = 8896733994

Least Common Multiple (LCM) of 94319 and 94326 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94319 and 94326. First we will calculate the prime factors of 94319 and 94326.

Prime Factorization of 94319

Prime factors of 94319 are 257, 367. Prime factorization of 94319 in exponential form is:

94319 = 2571 × 3671

Prime Factorization of 94326

Prime factors of 94326 are 2, 3, 79, 199. Prime factorization of 94326 in exponential form is:

94326 = 21 × 31 × 791 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 94319 and 94326.

LCM(94319,94326) = 2571 × 3671 × 21 × 31 × 791 × 1991
LCM(94319,94326) = 8896733994