Least Common Multiple of 8829 and 8837

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 8837 the smallest integer that is 78021873 that is divisible by both numbers.

Least Common Multiple (LCM) of 8829 and 8837 is 78021873.

LCM(8829,8837) = 78021873

LCM of 8829 and 8837

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

LCM of:
and

Least Common Multiple of 8829 and 8837

LCM of 8829 and 8837 is 78021873

Least common multiple can be found by multiplying the highest exponent prime factors of 8829 and 8837. First we will calculate the prime factors of 8829 and 8837.

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 8837


8837 8837
1

Prime factors of 8837 are 8837. Prime factorization of 8837 in exponential form is:

8837 = 88371

Now multiplying the highest exponent prime factors to calculate the LCM of 8829 and 8837.

LCM(8829,8837) = 34×1091×88371
LCM(8829,8837) = 78021873

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 8837

List of positive integer factors of 8837 that divides 8837 without a remainder.

1, 8837

Least Common Multiple of 8829 and 8837 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 8837, than apply into the LCM equation.

GCF(8829,8837) = 1
LCM(8829,8837) = ( 8829 × 8837) / 1
LCM(8829,8837) = 78021873 / 1
LCM(8829,8837) = 78021873

Properties of LCM 8829 and 8837

(i) The LCM of 8837 and 8829 is associative

LCM of 8829 and 8837 = LCM of 8837 and 8829

Related Least Common Multiples of 8829

Related Least Common Multiples of 8837

Frequently Asked Questions on LCM of 8829 and 8837

1. What is the LCM of 8829 and 8837?

Answer: LCM of 8829 and 8837 is 78021873.

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 8837?

Answer: Factors of 8837 are 1, 8837. There are 2 integers that are factors of 8837. The greatest factor of 8837 is 8837.

4. How to Find the LCM of 8829 and 8837?

Answer:

Least Common Multiple of 8829 and 8837 = 78021873

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 8837

8837 = 8837

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

LCM = 78021873 = 3 x 3 x 3 x 3 x 109 x 8837

Step 4: Therefore, the least common multiple of 8829 and 8837 is 78021873.