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What is the Least Common Multiple of 8805 and 8812?

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 8805 and 8812 is 77589660.

LCM(8805,8812) = 77589660

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Least Common Multiple of 8805 and 8812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8805 and 8812, than apply into the LCM equation.

GCF(8805,8812) = 1
LCM(8805,8812) = ( 8805 × 8812) / 1
LCM(8805,8812) = 77589660 / 1
LCM(8805,8812) = 77589660

Least Common Multiple (LCM) of 8805 and 8812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8805 and 8812. First we will calculate the prime factors of 8805 and 8812.

Prime Factorization of 8805

Prime factors of 8805 are 3, 5, 587. Prime factorization of 8805 in exponential form is:

8805 = 31 × 51 × 5871

Prime Factorization of 8812

Prime factors of 8812 are 2, 2203. Prime factorization of 8812 in exponential form is:

8812 = 22 × 22031

Now multiplying the highest exponent prime factors to calculate the LCM of 8805 and 8812.

LCM(8805,8812) = 31 × 51 × 5871 × 22 × 22031
LCM(8805,8812) = 77589660