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What is the Least Common Multiple of 80133 and 80141?

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 80133 and 80141 is 6421938753.

LCM(80133,80141) = 6421938753

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Least Common Multiple of 80133 and 80141 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80133 and 80141, than apply into the LCM equation.

GCF(80133,80141) = 1
LCM(80133,80141) = ( 80133 × 80141) / 1
LCM(80133,80141) = 6421938753 / 1
LCM(80133,80141) = 6421938753

Least Common Multiple (LCM) of 80133 and 80141 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80133 and 80141. First we will calculate the prime factors of 80133 and 80141.

Prime Factorization of 80133

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

80133 = 31 × 267111

Prime Factorization of 80141

Prime factors of 80141 are 80141. Prime factorization of 80141 in exponential form is:

80141 = 801411

Now multiplying the highest exponent prime factors to calculate the LCM of 80133 and 80141.

LCM(80133,80141) = 31 × 267111 × 801411
LCM(80133,80141) = 6421938753