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What is the Least Common Multiple of 94324 and 94342?

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 94342 is 4449357404.

LCM(94324,94342) = 4449357404

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Least Common Multiple of 94324 and 94342 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 94342, than apply into the LCM equation.

GCF(94324,94342) = 2
LCM(94324,94342) = ( 94324 × 94342) / 2
LCM(94324,94342) = 8898714808 / 2
LCM(94324,94342) = 4449357404

Least Common Multiple (LCM) of 94324 and 94342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94324 and 94342. First we will calculate the prime factors of 94324 and 94342.

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 94342

Prime factors of 94342 are 2, 43, 1097. Prime factorization of 94342 in exponential form is:

94342 = 21 × 431 × 10971

Now multiplying the highest exponent prime factors to calculate the LCM of 94324 and 94342.

LCM(94324,94342) = 22 × 235811 × 431 × 10971
LCM(94324,94342) = 4449357404