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What is the Least Common Multiple of 94323 and 94331?

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 94323 and 94331 is 8897582913.

LCM(94323,94331) = 8897582913

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Least Common Multiple of 94323 and 94331 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94323 and 94331, than apply into the LCM equation.

GCF(94323,94331) = 1
LCM(94323,94331) = ( 94323 × 94331) / 1
LCM(94323,94331) = 8897582913 / 1
LCM(94323,94331) = 8897582913

Least Common Multiple (LCM) of 94323 and 94331 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94323 and 94331. First we will calculate the prime factors of 94323 and 94331.

Prime Factorization of 94323

Prime factors of 94323 are 3, 23, 1367. Prime factorization of 94323 in exponential form is:

94323 = 31 × 231 × 13671

Prime Factorization of 94331

Prime factors of 94331 are 94331. Prime factorization of 94331 in exponential form is:

94331 = 943311

Now multiplying the highest exponent prime factors to calculate the LCM of 94323 and 94331.

LCM(94323,94331) = 31 × 231 × 13671 × 943311
LCM(94323,94331) = 8897582913