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What is the Least Common Multiple of 94422 and 94431?

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 94422 and 94431 is 2972121294.

LCM(94422,94431) = 2972121294

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Least Common Multiple of 94422 and 94431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94422 and 94431, than apply into the LCM equation.

GCF(94422,94431) = 3
LCM(94422,94431) = ( 94422 × 94431) / 3
LCM(94422,94431) = 8916363882 / 3
LCM(94422,94431) = 2972121294

Least Common Multiple (LCM) of 94422 and 94431 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94422 and 94431. First we will calculate the prime factors of 94422 and 94431.

Prime Factorization of 94422

Prime factors of 94422 are 2, 3, 15737. Prime factorization of 94422 in exponential form is:

94422 = 21 × 31 × 157371

Prime Factorization of 94431

Prime factors of 94431 are 3, 31477. Prime factorization of 94431 in exponential form is:

94431 = 31 × 314771

Now multiplying the highest exponent prime factors to calculate the LCM of 94422 and 94431.

LCM(94422,94431) = 21 × 31 × 157371 × 314771
LCM(94422,94431) = 2972121294