Least Common Multiple of 8829 and 8835

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8829 and 8835 the smallest integer that is 26001405 that is divisible by both numbers.

Least Common Multiple (LCM) of 8829 and 8835 is 26001405.

LCM(8829,8835) = 26001405

LCM of 8829 and 8835

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

LCM of:
and

Least Common Multiple of 8829 and 8835

LCM of 8829 and 8835 is 26001405

Least common multiple can be found by multiplying the highest exponent prime factors of 8829 and 8835. First we will calculate the prime factors of 8829 and 8835.

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

Prime Factorization of 8835


3 8835
5 2945
19 589
31 31
1

Prime factors of 8835 are 3, 5, 19,31. Prime factorization of 8835 in exponential form is:

8835 = 31×51×191×311

Now multiplying the highest exponent prime factors to calculate the LCM of 8829 and 8835.

LCM(8829,8835) = 34×51×191×311×1091
LCM(8829,8835) = 26001405

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

Factors of 8835

List of positive integer factors of 8835 that divides 8835 without a remainder.

1, 3, 5, 15, 19, 31, 57, 93, 95, 155, 285, 465, 589, 1767, 2945, 8835

Least Common Multiple of 8829 and 8835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8829 and 8835, than apply into the LCM equation.

GCF(8829,8835) = 3
LCM(8829,8835) = ( 8829 × 8835) / 3
LCM(8829,8835) = 78004215 / 3
LCM(8829,8835) = 26001405

Properties of LCM 8829 and 8835

(i) The LCM of 8835 and 8829 is associative

LCM of 8829 and 8835 = LCM of 8835 and 8829

Related Least Common Multiples of 8829

Related Least Common Multiples of 8835

Frequently Asked Questions on LCM of 8829 and 8835

1. What is the LCM of 8829 and 8835?

Answer: LCM of 8829 and 8835 is 26001405.

2. 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.

3. What are the Factors of 8835?

Answer: Factors of 8835 are 1, 3, 5, 15, 19, 31, 57, 93, 95, 155, 285, 465, 589, 1767, 2945, 8835. There are 16 integers that are factors of 8835. The greatest factor of 8835 is 8835.

4. How to Find the LCM of 8829 and 8835?

Answer:

Least Common Multiple of 8829 and 8835 = 26001405

Step 1: Find the prime factorization of 8829

8829 = 3 x 3 x 3 x 3 x 109

Step 2: Find the prime factorization of 8835

8835 = 3 x 5 x 19 x 31

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

LCM = 26001405 = 3 x 3 x 3 x 3 x 5 x 19 x 31 x 109

Step 4: Therefore, the least common multiple of 8829 and 8835 is 26001405.