Least Common Multiple of 8828 and 8834

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8828 and 8834 the smallest integer that is 38993276 that is divisible by both numbers.

Least Common Multiple (LCM) of 8828 and 8834 is 38993276.

LCM(8828,8834) = 38993276

LCM of 8828 and 8834

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

LCM of:
and

Least Common Multiple of 8828 and 8834

LCM of 8828 and 8834 is 38993276

Least common multiple can be found by multiplying the highest exponent prime factors of 8828 and 8834. First we will calculate the prime factors of 8828 and 8834.

Prime Factorization of 8828


2 8828
2 4414
2207 2207
1

Prime factors of 8828 are 2,2207. Prime factorization of 8828 in exponential form is:

8828 = 22×22071

Prime Factorization of 8834


2 8834
7 4417
631 631
1

Prime factors of 8834 are 2, 7,631. Prime factorization of 8834 in exponential form is:

8834 = 21×71×6311

Now multiplying the highest exponent prime factors to calculate the LCM of 8828 and 8834.

LCM(8828,8834) = 22×71×6311×22071
LCM(8828,8834) = 38993276

Factors of 8828

List of positive integer factors of 8828 that divides 8828 without a remainder.

1, 2, 4, 2207, 4414, 8828

Factors of 8834

List of positive integer factors of 8834 that divides 8834 without a remainder.

1, 2, 7, 14, 631, 1262, 4417, 8834

Least Common Multiple of 8828 and 8834 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8828 and 8834, than apply into the LCM equation.

GCF(8828,8834) = 2
LCM(8828,8834) = ( 8828 × 8834) / 2
LCM(8828,8834) = 77986552 / 2
LCM(8828,8834) = 38993276

Properties of LCM 8828 and 8834

(i) The LCM of 8834 and 8828 is associative

LCM of 8828 and 8834 = LCM of 8834 and 8828

Related Least Common Multiples of 8828

Related Least Common Multiples of 8834

Frequently Asked Questions on LCM of 8828 and 8834

1. What is the LCM of 8828 and 8834?

Answer: LCM of 8828 and 8834 is 38993276.

2. What are the Factors of 8828?

Answer: Factors of 8828 are 1, 2, 4, 2207, 4414, 8828. There are 6 integers that are factors of 8828. The greatest factor of 8828 is 8828.

3. What are the Factors of 8834?

Answer: Factors of 8834 are 1, 2, 7, 14, 631, 1262, 4417, 8834. There are 8 integers that are factors of 8834. The greatest factor of 8834 is 8834.

4. How to Find the LCM of 8828 and 8834?

Answer:

Least Common Multiple of 8828 and 8834 = 38993276

Step 1: Find the prime factorization of 8828

8828 = 2 x 2 x 2207

Step 2: Find the prime factorization of 8834

8834 = 2 x 7 x 631

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

LCM = 38993276 = 2 x 2 x 7 x 631 x 2207

Step 4: Therefore, the least common multiple of 8828 and 8834 is 38993276.