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What is the Least Common Multiple of 10024 and 10040?

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 10024 and 10040 is 12580120.

LCM(10024,10040) = 12580120

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Least Common Multiple of 10024 and 10040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10024 and 10040, than apply into the LCM equation.

GCF(10024,10040) = 8
LCM(10024,10040) = ( 10024 × 10040) / 8
LCM(10024,10040) = 100640960 / 8
LCM(10024,10040) = 12580120

Least Common Multiple (LCM) of 10024 and 10040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10024 and 10040. First we will calculate the prime factors of 10024 and 10040.

Prime Factorization of 10024

Prime factors of 10024 are 2, 7, 179. Prime factorization of 10024 in exponential form is:

10024 = 23 × 71 × 1791

Prime Factorization of 10040

Prime factors of 10040 are 2, 5, 251. Prime factorization of 10040 in exponential form is:

10040 = 23 × 51 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 10024 and 10040.

LCM(10024,10040) = 23 × 71 × 1791 × 51 × 2511
LCM(10024,10040) = 12580120