Least Common Multiple of 8809 and 8813

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 8813 the smallest integer that is 77633717 that is divisible by both numbers.

Least Common Multiple (LCM) of 8809 and 8813 is 77633717.

LCM(8809,8813) = 77633717

LCM of 8809 and 8813

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

LCM of:
and

Least Common Multiple of 8809 and 8813

LCM of 8809 and 8813 is 77633717

Least common multiple can be found by multiplying the highest exponent prime factors of 8809 and 8813. First we will calculate the prime factors of 8809 and 8813.

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 8813


7 8813
1259 1259
1

Prime factors of 8813 are 7,1259. Prime factorization of 8813 in exponential form is:

8813 = 71×12591

Now multiplying the highest exponent prime factors to calculate the LCM of 8809 and 8813.

LCM(8809,8813) = 71×231×3831×12591
LCM(8809,8813) = 77633717

Factors of 8809

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

1, 23, 383, 8809

Factors of 8813

List of positive integer factors of 8813 that divides 8813 without a remainder.

1, 7, 1259, 8813

Least Common Multiple of 8809 and 8813 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 8813, than apply into the LCM equation.

GCF(8809,8813) = 1
LCM(8809,8813) = ( 8809 × 8813) / 1
LCM(8809,8813) = 77633717 / 1
LCM(8809,8813) = 77633717

Properties of LCM 8809 and 8813

(i) The LCM of 8813 and 8809 is associative

LCM of 8809 and 8813 = LCM of 8813 and 8809

Related Least Common Multiples of 8809

Related Least Common Multiples of 8813

Frequently Asked Questions on LCM of 8809 and 8813

1. What is the LCM of 8809 and 8813?

Answer: LCM of 8809 and 8813 is 77633717.

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 8813?

Answer: Factors of 8813 are 1, 7, 1259, 8813. There are 4 integers that are factors of 8813. The greatest factor of 8813 is 8813.

4. How to Find the LCM of 8809 and 8813?

Answer:

Least Common Multiple of 8809 and 8813 = 77633717

Step 1: Find the prime factorization of 8809

8809 = 23 x 383

Step 2: Find the prime factorization of 8813

8813 = 7 x 1259

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

LCM = 77633717 = 7 x 23 x 383 x 1259

Step 4: Therefore, the least common multiple of 8809 and 8813 is 77633717.