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What is the Least Common Multiple of 9994 and 10009?

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 9994 and 10009 is 100029946.

LCM(9994,10009) = 100029946

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Least Common Multiple of 9994 and 10009 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9994 and 10009, than apply into the LCM equation.

GCF(9994,10009) = 1
LCM(9994,10009) = ( 9994 × 10009) / 1
LCM(9994,10009) = 100029946 / 1
LCM(9994,10009) = 100029946

Least Common Multiple (LCM) of 9994 and 10009 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9994 and 10009. First we will calculate the prime factors of 9994 and 10009.

Prime Factorization of 9994

Prime factors of 9994 are 2, 19, 263. Prime factorization of 9994 in exponential form is:

9994 = 21 × 191 × 2631

Prime Factorization of 10009

Prime factors of 10009 are 10009. Prime factorization of 10009 in exponential form is:

10009 = 100091

Now multiplying the highest exponent prime factors to calculate the LCM of 9994 and 10009.

LCM(9994,10009) = 21 × 191 × 2631 × 100091
LCM(9994,10009) = 100029946