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What is the Least Common Multiple of 80779 and 80788?

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 80788 is 6525973852.

LCM(80779,80788) = 6525973852

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Least Common Multiple of 80779 and 80788 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 80788, than apply into the LCM equation.

GCF(80779,80788) = 1
LCM(80779,80788) = ( 80779 × 80788) / 1
LCM(80779,80788) = 6525973852 / 1
LCM(80779,80788) = 6525973852

Least Common Multiple (LCM) of 80779 and 80788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80779 and 80788. First we will calculate the prime factors of 80779 and 80788.

Prime Factorization of 80779

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

80779 = 807791

Prime Factorization of 80788

Prime factors of 80788 are 2, 19, 1063. Prime factorization of 80788 in exponential form is:

80788 = 22 × 191 × 10631

Now multiplying the highest exponent prime factors to calculate the LCM of 80779 and 80788.

LCM(80779,80788) = 807791 × 22 × 191 × 10631
LCM(80779,80788) = 6525973852