Least Common Multiple of 8825 and 8830

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8825 and 8830 the smallest integer that is 15584950 that is divisible by both numbers.

Least Common Multiple (LCM) of 8825 and 8830 is 15584950.

LCM(8825,8830) = 15584950

LCM of 8825 and 8830

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

LCM of:
and

Least Common Multiple of 8825 and 8830

LCM of 8825 and 8830 is 15584950

Least common multiple can be found by multiplying the highest exponent prime factors of 8825 and 8830. First we will calculate the prime factors of 8825 and 8830.

Prime Factorization of 8825


5 8825
5 1765
353 353
1

Prime factors of 8825 are 5,353. Prime factorization of 8825 in exponential form is:

8825 = 52×3531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8825 and 8830.

LCM(8825,8830) = 21×52×3531×8831
LCM(8825,8830) = 15584950

Factors of 8825

List of positive integer factors of 8825 that divides 8825 without a remainder.

1, 5, 25, 353, 1765, 8825

Factors of 8830

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

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

Least Common Multiple of 8825 and 8830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8825 and 8830, than apply into the LCM equation.

GCF(8825,8830) = 5
LCM(8825,8830) = ( 8825 × 8830) / 5
LCM(8825,8830) = 77924750 / 5
LCM(8825,8830) = 15584950

Properties of LCM 8825 and 8830

(i) The LCM of 8830 and 8825 is associative

LCM of 8825 and 8830 = LCM of 8830 and 8825

Related Least Common Multiples of 8825

Related Least Common Multiples of 8830

Frequently Asked Questions on LCM of 8825 and 8830

1. What is the LCM of 8825 and 8830?

Answer: LCM of 8825 and 8830 is 15584950.

2. What are the Factors of 8825?

Answer: Factors of 8825 are 1, 5, 25, 353, 1765, 8825. There are 6 integers that are factors of 8825. The greatest factor of 8825 is 8825.

3. 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.

4. How to Find the LCM of 8825 and 8830?

Answer:

Least Common Multiple of 8825 and 8830 = 15584950

Step 1: Find the prime factorization of 8825

8825 = 5 x 5 x 353

Step 2: Find the prime factorization of 8830

8830 = 2 x 5 x 883

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

LCM = 15584950 = 2 x 5 x 5 x 353 x 883

Step 4: Therefore, the least common multiple of 8825 and 8830 is 15584950.