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What is the Least Common Multiple of 80591 and 80606?

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 80591 and 80606 is 6496118146.

LCM(80591,80606) = 6496118146

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Least Common Multiple of 80591 and 80606 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80591 and 80606, than apply into the LCM equation.

GCF(80591,80606) = 1
LCM(80591,80606) = ( 80591 × 80606) / 1
LCM(80591,80606) = 6496118146 / 1
LCM(80591,80606) = 6496118146

Least Common Multiple (LCM) of 80591 and 80606 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80591 and 80606. First we will calculate the prime factors of 80591 and 80606.

Prime Factorization of 80591

Prime factors of 80591 are 7, 29, 397. Prime factorization of 80591 in exponential form is:

80591 = 71 × 291 × 3971

Prime Factorization of 80606

Prime factors of 80606 are 2, 41, 983. Prime factorization of 80606 in exponential form is:

80606 = 21 × 411 × 9831

Now multiplying the highest exponent prime factors to calculate the LCM of 80591 and 80606.

LCM(80591,80606) = 71 × 291 × 3971 × 21 × 411 × 9831
LCM(80591,80606) = 6496118146