Least Common Multiple of 8824 and 8829

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8824 and 8829 the smallest integer that is 77907096 that is divisible by both numbers.

Least Common Multiple (LCM) of 8824 and 8829 is 77907096.

LCM(8824,8829) = 77907096

LCM of 8824 and 8829

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

LCM of:
and

Least Common Multiple of 8824 and 8829

LCM of 8824 and 8829 is 77907096

Least common multiple can be found by multiplying the highest exponent prime factors of 8824 and 8829. First we will calculate the prime factors of 8824 and 8829.

Prime Factorization of 8824


2 8824
2 4412
2 2206
1103 1103
1

Prime factors of 8824 are 2,1103. Prime factorization of 8824 in exponential form is:

8824 = 23×11031

Prime Factorization of 8829


3 8829
3 2943
3 981
3 327
109 109
1

Prime factors of 8829 are 3,109. Prime factorization of 8829 in exponential form is:

8829 = 34×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 8824 and 8829.

LCM(8824,8829) = 23×34×1091×11031
LCM(8824,8829) = 77907096

Factors of 8824

List of positive integer factors of 8824 that divides 8824 without a remainder.

1, 2, 4, 8, 1103, 2206, 4412, 8824

Factors of 8829

List of positive integer factors of 8829 that divides 8829 without a remainder.

1, 3, 9, 27, 81, 109, 327, 981, 2943, 8829

Least Common Multiple of 8824 and 8829 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8824 and 8829, than apply into the LCM equation.

GCF(8824,8829) = 1
LCM(8824,8829) = ( 8824 × 8829) / 1
LCM(8824,8829) = 77907096 / 1
LCM(8824,8829) = 77907096

Properties of LCM 8824 and 8829

(i) The LCM of 8829 and 8824 is associative

LCM of 8824 and 8829 = LCM of 8829 and 8824

Related Least Common Multiples of 8824

Related Least Common Multiples of 8829

Frequently Asked Questions on LCM of 8824 and 8829

1. What is the LCM of 8824 and 8829?

Answer: LCM of 8824 and 8829 is 77907096.

2. What are the Factors of 8824?

Answer: Factors of 8824 are 1, 2, 4, 8, 1103, 2206, 4412, 8824. There are 8 integers that are factors of 8824. The greatest factor of 8824 is 8824.

3. What are the Factors of 8829?

Answer: Factors of 8829 are 1, 3, 9, 27, 81, 109, 327, 981, 2943, 8829. There are 10 integers that are factors of 8829. The greatest factor of 8829 is 8829.

4. How to Find the LCM of 8824 and 8829?

Answer:

Least Common Multiple of 8824 and 8829 = 77907096

Step 1: Find the prime factorization of 8824

8824 = 2 x 2 x 2 x 1103

Step 2: Find the prime factorization of 8829

8829 = 3 x 3 x 3 x 3 x 109

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

LCM = 77907096 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 109 x 1103

Step 4: Therefore, the least common multiple of 8824 and 8829 is 77907096.