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What is the Least Common Multiple of 80791 and 80798?

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 80791 and 80798 is 6527751218.

LCM(80791,80798) = 6527751218

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Least Common Multiple of 80791 and 80798 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80791 and 80798, than apply into the LCM equation.

GCF(80791,80798) = 1
LCM(80791,80798) = ( 80791 × 80798) / 1
LCM(80791,80798) = 6527751218 / 1
LCM(80791,80798) = 6527751218

Least Common Multiple (LCM) of 80791 and 80798 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80791 and 80798. First we will calculate the prime factors of 80791 and 80798.

Prime Factorization of 80791

Prime factors of 80791 are 173, 467. Prime factorization of 80791 in exponential form is:

80791 = 1731 × 4671

Prime Factorization of 80798

Prime factors of 80798 are 2, 71, 569. Prime factorization of 80798 in exponential form is:

80798 = 21 × 711 × 5691

Now multiplying the highest exponent prime factors to calculate the LCM of 80791 and 80798.

LCM(80791,80798) = 1731 × 4671 × 21 × 711 × 5691
LCM(80791,80798) = 6527751218