Least Common Multiple of 8809 and 8817

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8809 and 8817 the smallest integer that is 77668953 that is divisible by both numbers.

Least Common Multiple (LCM) of 8809 and 8817 is 77668953.

LCM(8809,8817) = 77668953

LCM of 8809 and 8817

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

LCM of:
and

Least Common Multiple of 8809 and 8817

LCM of 8809 and 8817 is 77668953

Least common multiple can be found by multiplying the highest exponent prime factors of 8809 and 8817. First we will calculate the prime factors of 8809 and 8817.

Prime Factorization of 8809


23 8809
383 383
1

Prime factors of 8809 are 23,383. Prime factorization of 8809 in exponential form is:

8809 = 231×3831

Prime Factorization of 8817


3 8817
2939 2939
1

Prime factors of 8817 are 3,2939. Prime factorization of 8817 in exponential form is:

8817 = 31×29391

Now multiplying the highest exponent prime factors to calculate the LCM of 8809 and 8817.

LCM(8809,8817) = 31×231×3831×29391
LCM(8809,8817) = 77668953

Factors of 8809

List of positive integer factors of 8809 that divides 8809 without a remainder.

1, 23, 383, 8809

Factors of 8817

List of positive integer factors of 8817 that divides 8817 without a remainder.

1, 3, 2939, 8817

Least Common Multiple of 8809 and 8817 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8809 and 8817, than apply into the LCM equation.

GCF(8809,8817) = 1
LCM(8809,8817) = ( 8809 × 8817) / 1
LCM(8809,8817) = 77668953 / 1
LCM(8809,8817) = 77668953

Properties of LCM 8809 and 8817

(i) The LCM of 8817 and 8809 is associative

LCM of 8809 and 8817 = LCM of 8817 and 8809

Related Least Common Multiples of 8809

Related Least Common Multiples of 8817

Frequently Asked Questions on LCM of 8809 and 8817

1. What is the LCM of 8809 and 8817?

Answer: LCM of 8809 and 8817 is 77668953.

2. What are the Factors of 8809?

Answer: Factors of 8809 are 1, 23, 383, 8809. There are 4 integers that are factors of 8809. The greatest factor of 8809 is 8809.

3. What are the Factors of 8817?

Answer: Factors of 8817 are 1, 3, 2939, 8817. There are 4 integers that are factors of 8817. The greatest factor of 8817 is 8817.

4. How to Find the LCM of 8809 and 8817?

Answer:

Least Common Multiple of 8809 and 8817 = 77668953

Step 1: Find the prime factorization of 8809

8809 = 23 x 383

Step 2: Find the prime factorization of 8817

8817 = 3 x 2939

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

LCM = 77668953 = 3 x 23 x 383 x 2939

Step 4: Therefore, the least common multiple of 8809 and 8817 is 77668953.