Least Common Multiple of 8801 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 8801 and 8805 the smallest integer that is 77492805 that is divisible by both numbers.

Least Common Multiple (LCM) of 8801 and 8805 is 77492805.

LCM(8801,8805) = 77492805

LCM of 8801 and 8805

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

LCM of:
and

Least Common Multiple of 8801 and 8805

LCM of 8801 and 8805 is 77492805

Least common multiple can be found by multiplying the highest exponent prime factors of 8801 and 8805. First we will calculate the prime factors of 8801 and 8805.

Prime Factorization of 8801


13 8801
677 677
1

Prime factors of 8801 are 13,677. Prime factorization of 8801 in exponential form is:

8801 = 131×6771

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 8801 and 8805.

LCM(8801,8805) = 31×51×131×5871×6771
LCM(8801,8805) = 77492805

Factors of 8801

List of positive integer factors of 8801 that divides 8801 without a remainder.

1, 13, 677, 8801

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 8801 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 8801 and 8805, than apply into the LCM equation.

GCF(8801,8805) = 1
LCM(8801,8805) = ( 8801 × 8805) / 1
LCM(8801,8805) = 77492805 / 1
LCM(8801,8805) = 77492805

Properties of LCM 8801 and 8805

(i) The LCM of 8805 and 8801 is associative

LCM of 8801 and 8805 = LCM of 8805 and 8801

Related Least Common Multiples of 8801

Related Least Common Multiples of 8805

Frequently Asked Questions on LCM of 8801 and 8805

1. What is the LCM of 8801 and 8805?

Answer: LCM of 8801 and 8805 is 77492805.

2. What are the Factors of 8801?

Answer: Factors of 8801 are 1, 13, 677, 8801. There are 4 integers that are factors of 8801. The greatest factor of 8801 is 8801.

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 8801 and 8805?

Answer:

Least Common Multiple of 8801 and 8805 = 77492805

Step 1: Find the prime factorization of 8801

8801 = 13 x 677

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 = 77492805 = 3 x 5 x 13 x 587 x 677

Step 4: Therefore, the least common multiple of 8801 and 8805 is 77492805.