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What is the Least Common Multiple of 8797 and 8806?

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 8797 and 8806 is 77466382.

LCM(8797,8806) = 77466382

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Least Common Multiple of 8797 and 8806 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8797 and 8806, than apply into the LCM equation.

GCF(8797,8806) = 1
LCM(8797,8806) = ( 8797 × 8806) / 1
LCM(8797,8806) = 77466382 / 1
LCM(8797,8806) = 77466382

Least Common Multiple (LCM) of 8797 and 8806 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8797 and 8806. First we will calculate the prime factors of 8797 and 8806.

Prime Factorization of 8797

Prime factors of 8797 are 19, 463. Prime factorization of 8797 in exponential form is:

8797 = 191 × 4631

Prime Factorization of 8806

Prime factors of 8806 are 2, 7, 17, 37. Prime factorization of 8806 in exponential form is:

8806 = 21 × 71 × 171 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 8797 and 8806.

LCM(8797,8806) = 191 × 4631 × 21 × 71 × 171 × 371
LCM(8797,8806) = 77466382