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What is the Least Common Multiple of 94742 and 94757?

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 94742 and 94757 is 8977467694.

LCM(94742,94757) = 8977467694

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Least Common Multiple of 94742 and 94757 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94742 and 94757, than apply into the LCM equation.

GCF(94742,94757) = 1
LCM(94742,94757) = ( 94742 × 94757) / 1
LCM(94742,94757) = 8977467694 / 1
LCM(94742,94757) = 8977467694

Least Common Multiple (LCM) of 94742 and 94757 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94742 and 94757. First we will calculate the prime factors of 94742 and 94757.

Prime Factorization of 94742

Prime factors of 94742 are 2, 127, 373. Prime factorization of 94742 in exponential form is:

94742 = 21 × 1271 × 3731

Prime Factorization of 94757

Prime factors of 94757 are 13, 37, 197. Prime factorization of 94757 in exponential form is:

94757 = 131 × 371 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 94742 and 94757.

LCM(94742,94757) = 21 × 1271 × 3731 × 131 × 371 × 1971
LCM(94742,94757) = 8977467694