Least Common Multiple of 8830 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 8830 and 8834 the smallest integer that is 39002110 that is divisible by both numbers.

Least Common Multiple (LCM) of 8830 and 8834 is 39002110.

LCM(8830,8834) = 39002110

LCM of 8830 and 8834

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

LCM of:
and

Least Common Multiple of 8830 and 8834

LCM of 8830 and 8834 is 39002110

Least common multiple can be found by multiplying the highest exponent prime factors of 8830 and 8834. First we will calculate the prime factors of 8830 and 8834.

Prime Factorization of 8830


2 8830
5 4415
883 883
1

Prime factors of 8830 are 2, 5,883. Prime factorization of 8830 in exponential form is:

8830 = 21×51×8831

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 8830 and 8834.

LCM(8830,8834) = 21×51×71×6311×8831
LCM(8830,8834) = 39002110

Factors of 8830

List of positive integer factors of 8830 that divides 8830 without a remainder.

1, 2, 5, 10, 883, 1766, 4415, 8830

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 8830 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 8830 and 8834, than apply into the LCM equation.

GCF(8830,8834) = 2
LCM(8830,8834) = ( 8830 × 8834) / 2
LCM(8830,8834) = 78004220 / 2
LCM(8830,8834) = 39002110

Properties of LCM 8830 and 8834

(i) The LCM of 8834 and 8830 is associative

LCM of 8830 and 8834 = LCM of 8834 and 8830

Related Least Common Multiples of 8830

Related Least Common Multiples of 8834

Frequently Asked Questions on LCM of 8830 and 8834

1. What is the LCM of 8830 and 8834?

Answer: LCM of 8830 and 8834 is 39002110.

2. What are the Factors of 8830?

Answer: Factors of 8830 are 1, 2, 5, 10, 883, 1766, 4415, 8830. There are 8 integers that are factors of 8830. The greatest factor of 8830 is 8830.

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 8830 and 8834?

Answer:

Least Common Multiple of 8830 and 8834 = 39002110

Step 1: Find the prime factorization of 8830

8830 = 2 x 5 x 883

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 = 39002110 = 2 x 5 x 7 x 631 x 883

Step 4: Therefore, the least common multiple of 8830 and 8834 is 39002110.