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What is the Least Common Multiple of 80691 and 80696?

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 80691 and 80696 is 6511440936.

LCM(80691,80696) = 6511440936

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Least Common Multiple of 80691 and 80696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80691 and 80696, than apply into the LCM equation.

GCF(80691,80696) = 1
LCM(80691,80696) = ( 80691 × 80696) / 1
LCM(80691,80696) = 6511440936 / 1
LCM(80691,80696) = 6511440936

Least Common Multiple (LCM) of 80691 and 80696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80691 and 80696. First we will calculate the prime factors of 80691 and 80696.

Prime Factorization of 80691

Prime factors of 80691 are 3, 13, 2069. Prime factorization of 80691 in exponential form is:

80691 = 31 × 131 × 20691

Prime Factorization of 80696

Prime factors of 80696 are 2, 7, 11, 131. Prime factorization of 80696 in exponential form is:

80696 = 23 × 71 × 111 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 80691 and 80696.

LCM(80691,80696) = 31 × 131 × 20691 × 23 × 71 × 111 × 1311
LCM(80691,80696) = 6511440936