Least Common Multiple of 8804 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 8804 and 8811 the smallest integer that is 77572044 that is divisible by both numbers.

Least Common Multiple (LCM) of 8804 and 8811 is 77572044.

LCM(8804,8811) = 77572044

LCM of 8804 and 8811

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

LCM of:
and

Least Common Multiple of 8804 and 8811

LCM of 8804 and 8811 is 77572044

Least common multiple can be found by multiplying the highest exponent prime factors of 8804 and 8811. First we will calculate the prime factors of 8804 and 8811.

Prime Factorization of 8804


2 8804
2 4402
31 2201
71 71
1

Prime factors of 8804 are 2, 31,71. Prime factorization of 8804 in exponential form is:

8804 = 22×311×711

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 8804 and 8811.

LCM(8804,8811) = 22×32×111×311×711×891
LCM(8804,8811) = 77572044

Factors of 8804

List of positive integer factors of 8804 that divides 8804 without a remainder.

1, 2, 4, 31, 62, 71, 124, 142, 284, 2201, 4402, 8804

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 8804 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 8804 and 8811, than apply into the LCM equation.

GCF(8804,8811) = 1
LCM(8804,8811) = ( 8804 × 8811) / 1
LCM(8804,8811) = 77572044 / 1
LCM(8804,8811) = 77572044

Properties of LCM 8804 and 8811

(i) The LCM of 8811 and 8804 is associative

LCM of 8804 and 8811 = LCM of 8811 and 8804

Related Least Common Multiples of 8804

Related Least Common Multiples of 8811

Frequently Asked Questions on LCM of 8804 and 8811

1. What is the LCM of 8804 and 8811?

Answer: LCM of 8804 and 8811 is 77572044.

2. What are the Factors of 8804?

Answer: Factors of 8804 are 1, 2, 4, 31, 62, 71, 124, 142, 284, 2201, 4402, 8804. There are 12 integers that are factors of 8804. The greatest factor of 8804 is 8804.

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 8804 and 8811?

Answer:

Least Common Multiple of 8804 and 8811 = 77572044

Step 1: Find the prime factorization of 8804

8804 = 2 x 2 x 31 x 71

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 = 77572044 = 2 x 2 x 3 x 3 x 11 x 31 x 71 x 89

Step 4: Therefore, the least common multiple of 8804 and 8811 is 77572044.