Least Common Multiple of 8829 and 8833

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 8833 the smallest integer that is 77986557 that is divisible by both numbers.

Least Common Multiple (LCM) of 8829 and 8833 is 77986557.

LCM(8829,8833) = 77986557

LCM of 8829 and 8833

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

LCM of:
and

Least Common Multiple of 8829 and 8833

LCM of 8829 and 8833 is 77986557

Least common multiple can be found by multiplying the highest exponent prime factors of 8829 and 8833. First we will calculate the prime factors of 8829 and 8833.

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 8833


11 8833
11 803
73 73
1

Prime factors of 8833 are 11,73. Prime factorization of 8833 in exponential form is:

8833 = 112×731

Now multiplying the highest exponent prime factors to calculate the LCM of 8829 and 8833.

LCM(8829,8833) = 34×112×731×1091
LCM(8829,8833) = 77986557

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 8833

List of positive integer factors of 8833 that divides 8833 without a remainder.

1, 11, 73, 121, 803, 8833

Least Common Multiple of 8829 and 8833 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 8833, than apply into the LCM equation.

GCF(8829,8833) = 1
LCM(8829,8833) = ( 8829 × 8833) / 1
LCM(8829,8833) = 77986557 / 1
LCM(8829,8833) = 77986557

Properties of LCM 8829 and 8833

(i) The LCM of 8833 and 8829 is associative

LCM of 8829 and 8833 = LCM of 8833 and 8829

Related Least Common Multiples of 8829

Related Least Common Multiples of 8833

Frequently Asked Questions on LCM of 8829 and 8833

1. What is the LCM of 8829 and 8833?

Answer: LCM of 8829 and 8833 is 77986557.

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 8833?

Answer: Factors of 8833 are 1, 11, 73, 121, 803, 8833. There are 6 integers that are factors of 8833. The greatest factor of 8833 is 8833.

4. How to Find the LCM of 8829 and 8833?

Answer:

Least Common Multiple of 8829 and 8833 = 77986557

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 8833

8833 = 11 x 11 x 73

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

LCM = 77986557 = 3 x 3 x 3 x 3 x 11 x 11 x 73 x 109

Step 4: Therefore, the least common multiple of 8829 and 8833 is 77986557.