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What is the Least Common Multiple of 8786 and 8797?

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 8786 and 8797 is 77290442.

LCM(8786,8797) = 77290442

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Least Common Multiple of 8786 and 8797 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8786 and 8797, than apply into the LCM equation.

GCF(8786,8797) = 1
LCM(8786,8797) = ( 8786 × 8797) / 1
LCM(8786,8797) = 77290442 / 1
LCM(8786,8797) = 77290442

Least Common Multiple (LCM) of 8786 and 8797 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8786 and 8797. First we will calculate the prime factors of 8786 and 8797.

Prime Factorization of 8786

Prime factors of 8786 are 2, 23, 191. Prime factorization of 8786 in exponential form is:

8786 = 21 × 231 × 1911

Prime Factorization of 8797

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

8797 = 191 × 4631

Now multiplying the highest exponent prime factors to calculate the LCM of 8786 and 8797.

LCM(8786,8797) = 21 × 231 × 1911 × 191 × 4631
LCM(8786,8797) = 77290442