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What is the Least Common Multiple of 80034 and 80039?

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 80034 and 80039 is 6405841326.

LCM(80034,80039) = 6405841326

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Least Common Multiple of 80034 and 80039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80034 and 80039, than apply into the LCM equation.

GCF(80034,80039) = 1
LCM(80034,80039) = ( 80034 × 80039) / 1
LCM(80034,80039) = 6405841326 / 1
LCM(80034,80039) = 6405841326

Least Common Multiple (LCM) of 80034 and 80039 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80034 and 80039. First we will calculate the prime factors of 80034 and 80039.

Prime Factorization of 80034

Prime factors of 80034 are 2, 3, 13339. Prime factorization of 80034 in exponential form is:

80034 = 21 × 31 × 133391

Prime Factorization of 80039

Prime factors of 80039 are 80039. Prime factorization of 80039 in exponential form is:

80039 = 800391

Now multiplying the highest exponent prime factors to calculate the LCM of 80034 and 80039.

LCM(80034,80039) = 21 × 31 × 133391 × 800391
LCM(80034,80039) = 6405841326