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What is the Least Common Multiple of 80009 and 80018?

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 80009 and 80018 is 6402160162.

LCM(80009,80018) = 6402160162

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Least Common Multiple of 80009 and 80018 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80009 and 80018, than apply into the LCM equation.

GCF(80009,80018) = 1
LCM(80009,80018) = ( 80009 × 80018) / 1
LCM(80009,80018) = 6402160162 / 1
LCM(80009,80018) = 6402160162

Least Common Multiple (LCM) of 80009 and 80018 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80009 and 80018. First we will calculate the prime factors of 80009 and 80018.

Prime Factorization of 80009

Prime factors of 80009 are 19, 4211. Prime factorization of 80009 in exponential form is:

80009 = 191 × 42111

Prime Factorization of 80018

Prime factors of 80018 are 2, 40009. Prime factorization of 80018 in exponential form is:

80018 = 21 × 400091

Now multiplying the highest exponent prime factors to calculate the LCM of 80009 and 80018.

LCM(80009,80018) = 191 × 42111 × 21 × 400091
LCM(80009,80018) = 6402160162