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What is the Least Common Multiple of 80779 and 80797?

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 80779 and 80797 is 6526700863.

LCM(80779,80797) = 6526700863

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Least Common Multiple of 80779 and 80797 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80779 and 80797, than apply into the LCM equation.

GCF(80779,80797) = 1
LCM(80779,80797) = ( 80779 × 80797) / 1
LCM(80779,80797) = 6526700863 / 1
LCM(80779,80797) = 6526700863

Least Common Multiple (LCM) of 80779 and 80797 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80779 and 80797. First we will calculate the prime factors of 80779 and 80797.

Prime Factorization of 80779

Prime factors of 80779 are 80779. Prime factorization of 80779 in exponential form is:

80779 = 807791

Prime Factorization of 80797

Prime factors of 80797 are 43, 1879. Prime factorization of 80797 in exponential form is:

80797 = 431 × 18791

Now multiplying the highest exponent prime factors to calculate the LCM of 80779 and 80797.

LCM(80779,80797) = 807791 × 431 × 18791
LCM(80779,80797) = 6526700863