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What is the Least Common Multiple of 80613 and 80627?

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 80613 and 80627 is 6499584351.

LCM(80613,80627) = 6499584351

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Least Common Multiple of 80613 and 80627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80613 and 80627, than apply into the LCM equation.

GCF(80613,80627) = 1
LCM(80613,80627) = ( 80613 × 80627) / 1
LCM(80613,80627) = 6499584351 / 1
LCM(80613,80627) = 6499584351

Least Common Multiple (LCM) of 80613 and 80627 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80613 and 80627. First we will calculate the prime factors of 80613 and 80627.

Prime Factorization of 80613

Prime factors of 80613 are 3, 13, 53. Prime factorization of 80613 in exponential form is:

80613 = 32 × 132 × 531

Prime Factorization of 80627

Prime factors of 80627 are 80627. Prime factorization of 80627 in exponential form is:

80627 = 806271

Now multiplying the highest exponent prime factors to calculate the LCM of 80613 and 80627.

LCM(80613,80627) = 32 × 132 × 531 × 806271
LCM(80613,80627) = 6499584351