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What is the Least Common Multiple of 80038 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 80038 and 80044 is 3203280836.

LCM(80038,80044) = 3203280836

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Least Common Multiple of 80038 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 80038 and 80044, than apply into the LCM equation.

GCF(80038,80044) = 2
LCM(80038,80044) = ( 80038 × 80044) / 2
LCM(80038,80044) = 6406561672 / 2
LCM(80038,80044) = 3203280836

Least Common Multiple (LCM) of 80038 and 80044 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80038 and 80044. First we will calculate the prime factors of 80038 and 80044.

Prime Factorization of 80038

Prime factors of 80038 are 2, 7, 5717. Prime factorization of 80038 in exponential form is:

80038 = 21 × 71 × 57171

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 80038 and 80044.

LCM(80038,80044) = 22 × 71 × 57171 × 200111
LCM(80038,80044) = 3203280836