Least Common Multiple of 8825 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 8825 and 8829 the smallest integer that is 77915925 that is divisible by both numbers.

Least Common Multiple (LCM) of 8825 and 8829 is 77915925.

LCM(8825,8829) = 77915925

LCM of 8825 and 8829

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

LCM of:
and

Least Common Multiple of 8825 and 8829

LCM of 8825 and 8829 is 77915925

Least common multiple can be found by multiplying the highest exponent prime factors of 8825 and 8829. First we will calculate the prime factors of 8825 and 8829.

Prime Factorization of 8825


5 8825
5 1765
353 353
1

Prime factors of 8825 are 5,353. Prime factorization of 8825 in exponential form is:

8825 = 52×3531

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 8825 and 8829.

LCM(8825,8829) = 34×52×1091×3531
LCM(8825,8829) = 77915925

Factors of 8825

List of positive integer factors of 8825 that divides 8825 without a remainder.

1, 5, 25, 353, 1765, 8825

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 8825 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 8825 and 8829, than apply into the LCM equation.

GCF(8825,8829) = 1
LCM(8825,8829) = ( 8825 × 8829) / 1
LCM(8825,8829) = 77915925 / 1
LCM(8825,8829) = 77915925

Properties of LCM 8825 and 8829

(i) The LCM of 8829 and 8825 is associative

LCM of 8825 and 8829 = LCM of 8829 and 8825

Related Least Common Multiples of 8825

Related Least Common Multiples of 8829

Frequently Asked Questions on LCM of 8825 and 8829

1. What is the LCM of 8825 and 8829?

Answer: LCM of 8825 and 8829 is 77915925.

2. What are the Factors of 8825?

Answer: Factors of 8825 are 1, 5, 25, 353, 1765, 8825. There are 6 integers that are factors of 8825. The greatest factor of 8825 is 8825.

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 8825 and 8829?

Answer:

Least Common Multiple of 8825 and 8829 = 77915925

Step 1: Find the prime factorization of 8825

8825 = 5 x 5 x 353

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 = 77915925 = 3 x 3 x 3 x 3 x 5 x 5 x 109 x 353

Step 4: Therefore, the least common multiple of 8825 and 8829 is 77915925.