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What is the Least Common Multiple of 80024 and 80044?

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 80024 and 80044 is 1601360264.

LCM(80024,80044) = 1601360264

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Least Common Multiple of 80024 and 80044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80024 and 80044, than apply into the LCM equation.

GCF(80024,80044) = 4
LCM(80024,80044) = ( 80024 × 80044) / 4
LCM(80024,80044) = 6405441056 / 4
LCM(80024,80044) = 1601360264

Least Common Multiple (LCM) of 80024 and 80044 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80024 and 80044. First we will calculate the prime factors of 80024 and 80044.

Prime Factorization of 80024

Prime factors of 80024 are 2, 7, 1429. Prime factorization of 80024 in exponential form is:

80024 = 23 × 71 × 14291

Prime Factorization of 80044

Prime factors of 80044 are 2, 20011. Prime factorization of 80044 in exponential form is:

80044 = 22 × 200111

Now multiplying the highest exponent prime factors to calculate the LCM of 80024 and 80044.

LCM(80024,80044) = 23 × 71 × 14291 × 200111
LCM(80024,80044) = 1601360264