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What is the Least Common Multiple of 8771 and 8782?

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 8771 and 8782 is 77026922.

LCM(8771,8782) = 77026922

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Least Common Multiple of 8771 and 8782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8771 and 8782, than apply into the LCM equation.

GCF(8771,8782) = 1
LCM(8771,8782) = ( 8771 × 8782) / 1
LCM(8771,8782) = 77026922 / 1
LCM(8771,8782) = 77026922

Least Common Multiple (LCM) of 8771 and 8782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8771 and 8782. First we will calculate the prime factors of 8771 and 8782.

Prime Factorization of 8771

Prime factors of 8771 are 7, 179. Prime factorization of 8771 in exponential form is:

8771 = 72 × 1791

Prime Factorization of 8782

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

8782 = 21 × 43911

Now multiplying the highest exponent prime factors to calculate the LCM of 8771 and 8782.

LCM(8771,8782) = 72 × 1791 × 21 × 43911
LCM(8771,8782) = 77026922