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What is the Least Common Multiple of 80129 and 80133?

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 80129 and 80133 is 6420977157.

LCM(80129,80133) = 6420977157

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Least Common Multiple of 80129 and 80133 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80129 and 80133, than apply into the LCM equation.

GCF(80129,80133) = 1
LCM(80129,80133) = ( 80129 × 80133) / 1
LCM(80129,80133) = 6420977157 / 1
LCM(80129,80133) = 6420977157

Least Common Multiple (LCM) of 80129 and 80133 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80129 and 80133. First we will calculate the prime factors of 80129 and 80133.

Prime Factorization of 80129

Prime factors of 80129 are 7, 11447. Prime factorization of 80129 in exponential form is:

80129 = 71 × 114471

Prime Factorization of 80133

Prime factors of 80133 are 3, 26711. Prime factorization of 80133 in exponential form is:

80133 = 31 × 267111

Now multiplying the highest exponent prime factors to calculate the LCM of 80129 and 80133.

LCM(80129,80133) = 71 × 114471 × 31 × 267111
LCM(80129,80133) = 6420977157