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What is the Least Common Multiple of 80882 and 80897?

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 80882 and 80897 is 6543111154.

LCM(80882,80897) = 6543111154

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Least Common Multiple of 80882 and 80897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80882 and 80897, than apply into the LCM equation.

GCF(80882,80897) = 1
LCM(80882,80897) = ( 80882 × 80897) / 1
LCM(80882,80897) = 6543111154 / 1
LCM(80882,80897) = 6543111154

Least Common Multiple (LCM) of 80882 and 80897 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80882 and 80897. First we will calculate the prime factors of 80882 and 80897.

Prime Factorization of 80882

Prime factors of 80882 are 2, 37, 1093. Prime factorization of 80882 in exponential form is:

80882 = 21 × 371 × 10931

Prime Factorization of 80897

Prime factors of 80897 are 80897. Prime factorization of 80897 in exponential form is:

80897 = 808971

Now multiplying the highest exponent prime factors to calculate the LCM of 80882 and 80897.

LCM(80882,80897) = 21 × 371 × 10931 × 808971
LCM(80882,80897) = 6543111154