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What is the Least Common Multiple of 94324 and 94338?

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 94324 and 94338 is 4449168756.

LCM(94324,94338) = 4449168756

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Least Common Multiple of 94324 and 94338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94324 and 94338, than apply into the LCM equation.

GCF(94324,94338) = 2
LCM(94324,94338) = ( 94324 × 94338) / 2
LCM(94324,94338) = 8898337512 / 2
LCM(94324,94338) = 4449168756

Least Common Multiple (LCM) of 94324 and 94338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94324 and 94338. First we will calculate the prime factors of 94324 and 94338.

Prime Factorization of 94324

Prime factors of 94324 are 2, 23581. Prime factorization of 94324 in exponential form is:

94324 = 22 × 235811

Prime Factorization of 94338

Prime factors of 94338 are 2, 3, 1747. Prime factorization of 94338 in exponential form is:

94338 = 21 × 33 × 17471

Now multiplying the highest exponent prime factors to calculate the LCM of 94324 and 94338.

LCM(94324,94338) = 22 × 235811 × 33 × 17471
LCM(94324,94338) = 4449168756