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What is the Least Common Multiple of 8791 and 8802?

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 8802 is 77378382.

LCM(8791,8802) = 77378382

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Least Common Multiple of 8791 and 8802 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 8802, than apply into the LCM equation.

GCF(8791,8802) = 1
LCM(8791,8802) = ( 8791 × 8802) / 1
LCM(8791,8802) = 77378382 / 1
LCM(8791,8802) = 77378382

Least Common Multiple (LCM) of 8791 and 8802 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8791 and 8802. First we will calculate the prime factors of 8791 and 8802.

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 8802

Prime factors of 8802 are 2, 3, 163. Prime factorization of 8802 in exponential form is:

8802 = 21 × 33 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 8791 and 8802.

LCM(8791,8802) = 591 × 1491 × 21 × 33 × 1631
LCM(8791,8802) = 77378382