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What is the Least Common Multiple of 94742 and 94750?

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 94750 is 4488402250.

LCM(94742,94750) = 4488402250

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Least Common Multiple of 94742 and 94750 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 94750, than apply into the LCM equation.

GCF(94742,94750) = 2
LCM(94742,94750) = ( 94742 × 94750) / 2
LCM(94742,94750) = 8976804500 / 2
LCM(94742,94750) = 4488402250

Least Common Multiple (LCM) of 94742 and 94750 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94742 and 94750. First we will calculate the prime factors of 94742 and 94750.

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 94750

Prime factors of 94750 are 2, 5, 379. Prime factorization of 94750 in exponential form is:

94750 = 21 × 53 × 3791

Now multiplying the highest exponent prime factors to calculate the LCM of 94742 and 94750.

LCM(94742,94750) = 21 × 1271 × 3731 × 53 × 3791
LCM(94742,94750) = 4488402250