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What is the Least Common Multiple of 94990 and 94999?

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 94990 and 94999 is 9023955010.

LCM(94990,94999) = 9023955010

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Least Common Multiple of 94990 and 94999 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94990 and 94999, than apply into the LCM equation.

GCF(94990,94999) = 1
LCM(94990,94999) = ( 94990 × 94999) / 1
LCM(94990,94999) = 9023955010 / 1
LCM(94990,94999) = 9023955010

Least Common Multiple (LCM) of 94990 and 94999 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94990 and 94999. First we will calculate the prime factors of 94990 and 94999.

Prime Factorization of 94990

Prime factors of 94990 are 2, 5, 7, 23, 59. Prime factorization of 94990 in exponential form is:

94990 = 21 × 51 × 71 × 231 × 591

Prime Factorization of 94999

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

94999 = 949991

Now multiplying the highest exponent prime factors to calculate the LCM of 94990 and 94999.

LCM(94990,94999) = 21 × 51 × 71 × 231 × 591 × 949991
LCM(94990,94999) = 9023955010