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What is the Least Common Multiple of 80558 and 80566?

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 80558 and 80566 is 3245117914.

LCM(80558,80566) = 3245117914

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Least Common Multiple of 80558 and 80566 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80558 and 80566, than apply into the LCM equation.

GCF(80558,80566) = 2
LCM(80558,80566) = ( 80558 × 80566) / 2
LCM(80558,80566) = 6490235828 / 2
LCM(80558,80566) = 3245117914

Least Common Multiple (LCM) of 80558 and 80566 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80558 and 80566. First we will calculate the prime factors of 80558 and 80566.

Prime Factorization of 80558

Prime factors of 80558 are 2, 47, 857. Prime factorization of 80558 in exponential form is:

80558 = 21 × 471 × 8571

Prime Factorization of 80566

Prime factors of 80566 are 2, 40283. Prime factorization of 80566 in exponential form is:

80566 = 21 × 402831

Now multiplying the highest exponent prime factors to calculate the LCM of 80558 and 80566.

LCM(80558,80566) = 21 × 471 × 8571 × 402831
LCM(80558,80566) = 3245117914