Least Common Multiple of 8805 and 8811

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8805 and 8811 the smallest integer that is 25860285 that is divisible by both numbers.

Least Common Multiple (LCM) of 8805 and 8811 is 25860285.

LCM(8805,8811) = 25860285

LCM of 8805 and 8811

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

LCM of:
and

Least Common Multiple of 8805 and 8811

LCM of 8805 and 8811 is 25860285

Least common multiple can be found by multiplying the highest exponent prime factors of 8805 and 8811. First we will calculate the prime factors of 8805 and 8811.

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

Prime Factorization of 8811


3 8811
3 2937
11 979
89 89
1

Prime factors of 8811 are 3, 11,89. Prime factorization of 8811 in exponential form is:

8811 = 32×111×891

Now multiplying the highest exponent prime factors to calculate the LCM of 8805 and 8811.

LCM(8805,8811) = 32×51×111×891×5871
LCM(8805,8811) = 25860285

Factors of 8805

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

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

Factors of 8811

List of positive integer factors of 8811 that divides 8811 without a remainder.

1, 3, 9, 11, 33, 89, 99, 267, 801, 979, 2937, 8811

Least Common Multiple of 8805 and 8811 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 8811, than apply into the LCM equation.

GCF(8805,8811) = 3
LCM(8805,8811) = ( 8805 × 8811) / 3
LCM(8805,8811) = 77580855 / 3
LCM(8805,8811) = 25860285

Properties of LCM 8805 and 8811

(i) The LCM of 8811 and 8805 is associative

LCM of 8805 and 8811 = LCM of 8811 and 8805

Related Least Common Multiples of 8805

Related Least Common Multiples of 8811

Frequently Asked Questions on LCM of 8805 and 8811

1. What is the LCM of 8805 and 8811?

Answer: LCM of 8805 and 8811 is 25860285.

2. 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.

3. What are the Factors of 8811?

Answer: Factors of 8811 are 1, 3, 9, 11, 33, 89, 99, 267, 801, 979, 2937, 8811. There are 12 integers that are factors of 8811. The greatest factor of 8811 is 8811.

4. How to Find the LCM of 8805 and 8811?

Answer:

Least Common Multiple of 8805 and 8811 = 25860285

Step 1: Find the prime factorization of 8805

8805 = 3 x 5 x 587

Step 2: Find the prime factorization of 8811

8811 = 3 x 3 x 11 x 89

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

LCM = 25860285 = 3 x 3 x 5 x 11 x 89 x 587

Step 4: Therefore, the least common multiple of 8805 and 8811 is 25860285.