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What is the Least Common Multiple of 80687 and 80700?

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 80687 and 80700 is 6511440900.

LCM(80687,80700) = 6511440900

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Least Common Multiple of 80687 and 80700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80687 and 80700, than apply into the LCM equation.

GCF(80687,80700) = 1
LCM(80687,80700) = ( 80687 × 80700) / 1
LCM(80687,80700) = 6511440900 / 1
LCM(80687,80700) = 6511440900

Least Common Multiple (LCM) of 80687 and 80700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80687 and 80700. First we will calculate the prime factors of 80687 and 80700.

Prime Factorization of 80687

Prime factors of 80687 are 80687. Prime factorization of 80687 in exponential form is:

80687 = 806871

Prime Factorization of 80700

Prime factors of 80700 are 2, 3, 5, 269. Prime factorization of 80700 in exponential form is:

80700 = 22 × 31 × 52 × 2691

Now multiplying the highest exponent prime factors to calculate the LCM of 80687 and 80700.

LCM(80687,80700) = 806871 × 22 × 31 × 52 × 2691
LCM(80687,80700) = 6511440900