Least Common Multiple of 8825 and 8831

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 8831 the smallest integer that is 77933575 that is divisible by both numbers.

Least Common Multiple (LCM) of 8825 and 8831 is 77933575.

LCM(8825,8831) = 77933575

LCM of 8825 and 8831

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

LCM of:
and

Least Common Multiple of 8825 and 8831

LCM of 8825 and 8831 is 77933575

Least common multiple can be found by multiplying the highest exponent prime factors of 8825 and 8831. First we will calculate the prime factors of 8825 and 8831.

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 8831


8831 8831
1

Prime factors of 8831 are 8831. Prime factorization of 8831 in exponential form is:

8831 = 88311

Now multiplying the highest exponent prime factors to calculate the LCM of 8825 and 8831.

LCM(8825,8831) = 52×3531×88311
LCM(8825,8831) = 77933575

Factors of 8825

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

1, 5, 25, 353, 1765, 8825

Factors of 8831

List of positive integer factors of 8831 that divides 8831 without a remainder.

1, 8831

Least Common Multiple of 8825 and 8831 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 8831, than apply into the LCM equation.

GCF(8825,8831) = 1
LCM(8825,8831) = ( 8825 × 8831) / 1
LCM(8825,8831) = 77933575 / 1
LCM(8825,8831) = 77933575

Properties of LCM 8825 and 8831

(i) The LCM of 8831 and 8825 is associative

LCM of 8825 and 8831 = LCM of 8831 and 8825

Related Least Common Multiples of 8825

Related Least Common Multiples of 8831

Frequently Asked Questions on LCM of 8825 and 8831

1. What is the LCM of 8825 and 8831?

Answer: LCM of 8825 and 8831 is 77933575.

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 8831?

Answer: Factors of 8831 are 1, 8831. There are 2 integers that are factors of 8831. The greatest factor of 8831 is 8831.

4. How to Find the LCM of 8825 and 8831?

Answer:

Least Common Multiple of 8825 and 8831 = 77933575

Step 1: Find the prime factorization of 8825

8825 = 5 x 5 x 353

Step 2: Find the prime factorization of 8831

8831 = 8831

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

LCM = 77933575 = 5 x 5 x 353 x 8831

Step 4: Therefore, the least common multiple of 8825 and 8831 is 77933575.