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What is the Least Common Multiple of 8791 and 8809?

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 8791 and 8809 is 77439919.

LCM(8791,8809) = 77439919

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Least Common Multiple of 8791 and 8809 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8791 and 8809, than apply into the LCM equation.

GCF(8791,8809) = 1
LCM(8791,8809) = ( 8791 × 8809) / 1
LCM(8791,8809) = 77439919 / 1
LCM(8791,8809) = 77439919

Least Common Multiple (LCM) of 8791 and 8809 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8791 and 8809. First we will calculate the prime factors of 8791 and 8809.

Prime Factorization of 8791

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

8791 = 591 × 1491

Prime Factorization of 8809

Prime factors of 8809 are 23, 383. Prime factorization of 8809 in exponential form is:

8809 = 231 × 3831

Now multiplying the highest exponent prime factors to calculate the LCM of 8791 and 8809.

LCM(8791,8809) = 591 × 1491 × 231 × 3831
LCM(8791,8809) = 77439919