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What is the Least Common Multiple of 10018 and 10038?

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 10018 and 10038 is 50280342.

LCM(10018,10038) = 50280342

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Least Common Multiple of 10018 and 10038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10018 and 10038, than apply into the LCM equation.

GCF(10018,10038) = 2
LCM(10018,10038) = ( 10018 × 10038) / 2
LCM(10018,10038) = 100560684 / 2
LCM(10018,10038) = 50280342

Least Common Multiple (LCM) of 10018 and 10038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10018 and 10038. First we will calculate the prime factors of 10018 and 10038.

Prime Factorization of 10018

Prime factors of 10018 are 2, 5009. Prime factorization of 10018 in exponential form is:

10018 = 21 × 50091

Prime Factorization of 10038

Prime factors of 10038 are 2, 3, 7, 239. Prime factorization of 10038 in exponential form is:

10038 = 21 × 31 × 71 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 10018 and 10038.

LCM(10018,10038) = 21 × 50091 × 31 × 71 × 2391
LCM(10018,10038) = 50280342