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What is the Least Common Multiple of 8782 and 8791?

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 8782 and 8791 is 77202562.

LCM(8782,8791) = 77202562

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Least Common Multiple of 8782 and 8791 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8782 and 8791, than apply into the LCM equation.

GCF(8782,8791) = 1
LCM(8782,8791) = ( 8782 × 8791) / 1
LCM(8782,8791) = 77202562 / 1
LCM(8782,8791) = 77202562

Least Common Multiple (LCM) of 8782 and 8791 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8782 and 8791. First we will calculate the prime factors of 8782 and 8791.

Prime Factorization of 8782

Prime factors of 8782 are 2, 4391. Prime factorization of 8782 in exponential form is:

8782 = 21 × 43911

Prime Factorization of 8791

Prime factors of 8791 are 59, 149. Prime factorization of 8791 in exponential form is:

8791 = 591 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 8782 and 8791.

LCM(8782,8791) = 21 × 43911 × 591 × 1491
LCM(8782,8791) = 77202562