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What is the Least Common Multiple of 94999 and 95012?

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 94999 and 95012 is 9026044988.

LCM(94999,95012) = 9026044988

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Least Common Multiple of 94999 and 95012 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94999 and 95012, than apply into the LCM equation.

GCF(94999,95012) = 1
LCM(94999,95012) = ( 94999 × 95012) / 1
LCM(94999,95012) = 9026044988 / 1
LCM(94999,95012) = 9026044988

Least Common Multiple (LCM) of 94999 and 95012 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94999 and 95012. First we will calculate the prime factors of 94999 and 95012.

Prime Factorization of 94999

Prime factors of 94999 are 94999. Prime factorization of 94999 in exponential form is:

94999 = 949991

Prime Factorization of 95012

Prime factors of 95012 are 2, 23753. Prime factorization of 95012 in exponential form is:

95012 = 22 × 237531

Now multiplying the highest exponent prime factors to calculate the LCM of 94999 and 95012.

LCM(94999,95012) = 949991 × 22 × 237531
LCM(94999,95012) = 9026044988