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What is the Least Common Multiple of 80063 and 80082?

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 80063 and 80082 is 6411605166.

LCM(80063,80082) = 6411605166

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Least Common Multiple of 80063 and 80082 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80063 and 80082, than apply into the LCM equation.

GCF(80063,80082) = 1
LCM(80063,80082) = ( 80063 × 80082) / 1
LCM(80063,80082) = 6411605166 / 1
LCM(80063,80082) = 6411605166

Least Common Multiple (LCM) of 80063 and 80082 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80063 and 80082. First we will calculate the prime factors of 80063 and 80082.

Prime Factorization of 80063

Prime factors of 80063 are 23, 59. Prime factorization of 80063 in exponential form is:

80063 = 231 × 592

Prime Factorization of 80082

Prime factors of 80082 are 2, 3, 1483. Prime factorization of 80082 in exponential form is:

80082 = 21 × 33 × 14831

Now multiplying the highest exponent prime factors to calculate the LCM of 80063 and 80082.

LCM(80063,80082) = 231 × 592 × 21 × 33 × 14831
LCM(80063,80082) = 6411605166