Least Common Multiple of 8797 and 8805

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8797 and 8805 the smallest integer that is 77457585 that is divisible by both numbers.

Least Common Multiple (LCM) of 8797 and 8805 is 77457585.

LCM(8797,8805) = 77457585

LCM of 8797 and 8805

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 8797 and 8805

LCM of 8797 and 8805 is 77457585

Least common multiple can be found by multiplying the highest exponent prime factors of 8797 and 8805. First we will calculate the prime factors of 8797 and 8805.

Prime Factorization of 8797


19 8797
463 463
1

Prime factors of 8797 are 19,463. Prime factorization of 8797 in exponential form is:

8797 = 191×4631

Prime Factorization of 8805


3 8805
5 2935
587 587
1

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

8805 = 31×51×5871

Now multiplying the highest exponent prime factors to calculate the LCM of 8797 and 8805.

LCM(8797,8805) = 31×51×191×4631×5871
LCM(8797,8805) = 77457585

Factors of 8797

List of positive integer factors of 8797 that divides 8797 without a remainder.

1, 19, 463, 8797

Factors of 8805

List of positive integer factors of 8805 that divides 8805 without a remainder.

1, 3, 5, 15, 587, 1761, 2935, 8805

Least Common Multiple of 8797 and 8805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8797 and 8805, than apply into the LCM equation.

GCF(8797,8805) = 1
LCM(8797,8805) = ( 8797 × 8805) / 1
LCM(8797,8805) = 77457585 / 1
LCM(8797,8805) = 77457585

Properties of LCM 8797 and 8805

(i) The LCM of 8805 and 8797 is associative

LCM of 8797 and 8805 = LCM of 8805 and 8797

Related Least Common Multiples of 8797

Related Least Common Multiples of 8805

Frequently Asked Questions on LCM of 8797 and 8805

1. What is the LCM of 8797 and 8805?

Answer: LCM of 8797 and 8805 is 77457585.

2. What are the Factors of 8797?

Answer: Factors of 8797 are 1, 19, 463, 8797. There are 4 integers that are factors of 8797. The greatest factor of 8797 is 8797.

3. What are the Factors of 8805?

Answer: Factors of 8805 are 1, 3, 5, 15, 587, 1761, 2935, 8805. There are 8 integers that are factors of 8805. The greatest factor of 8805 is 8805.

4. How to Find the LCM of 8797 and 8805?

Answer:

Least Common Multiple of 8797 and 8805 = 77457585

Step 1: Find the prime factorization of 8797

8797 = 19 x 463

Step 2: Find the prime factorization of 8805

8805 = 3 x 5 x 587

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 77457585 = 3 x 5 x 19 x 463 x 587

Step 4: Therefore, the least common multiple of 8797 and 8805 is 77457585.