Least Common Multiple of 8806 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 8806 and 8811 the smallest integer that is 77589666 that is divisible by both numbers.

Least Common Multiple (LCM) of 8806 and 8811 is 77589666.

LCM(8806,8811) = 77589666

LCM of 8806 and 8811

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

LCM of:
and

Least Common Multiple of 8806 and 8811

LCM of 8806 and 8811 is 77589666

Least common multiple can be found by multiplying the highest exponent prime factors of 8806 and 8811. First we will calculate the prime factors of 8806 and 8811.

Prime Factorization of 8806


2 8806
7 4403
17 629
37 37
1

Prime factors of 8806 are 2, 7, 17,37. Prime factorization of 8806 in exponential form is:

8806 = 21×71×171×371

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 8806 and 8811.

LCM(8806,8811) = 21×32×71×111×171×371×891
LCM(8806,8811) = 77589666

Factors of 8806

List of positive integer factors of 8806 that divides 8806 without a remainder.

1, 2, 7, 14, 17, 34, 37, 74, 119, 238, 259, 518, 629, 1258, 4403, 8806

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 8806 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 8806 and 8811, than apply into the LCM equation.

GCF(8806,8811) = 1
LCM(8806,8811) = ( 8806 × 8811) / 1
LCM(8806,8811) = 77589666 / 1
LCM(8806,8811) = 77589666

Properties of LCM 8806 and 8811

(i) The LCM of 8811 and 8806 is associative

LCM of 8806 and 8811 = LCM of 8811 and 8806

Related Least Common Multiples of 8806

Related Least Common Multiples of 8811

Frequently Asked Questions on LCM of 8806 and 8811

1. What is the LCM of 8806 and 8811?

Answer: LCM of 8806 and 8811 is 77589666.

2. What are the Factors of 8806?

Answer: Factors of 8806 are 1, 2, 7, 14, 17, 34, 37, 74, 119, 238, 259, 518, 629, 1258, 4403, 8806. There are 16 integers that are factors of 8806. The greatest factor of 8806 is 8806.

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 8806 and 8811?

Answer:

Least Common Multiple of 8806 and 8811 = 77589666

Step 1: Find the prime factorization of 8806

8806 = 2 x 7 x 17 x 37

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 = 77589666 = 2 x 3 x 3 x 7 x 11 x 17 x 37 x 89

Step 4: Therefore, the least common multiple of 8806 and 8811 is 77589666.