Least Common Multiple of 8819 and 8825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8819 and 8825 the smallest integer that is 77827675 that is divisible by both numbers.

Least Common Multiple (LCM) of 8819 and 8825 is 77827675.

LCM(8819,8825) = 77827675

LCM of 8819 and 8825

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

LCM of:
and

Least Common Multiple of 8819 and 8825

LCM of 8819 and 8825 is 77827675

Least common multiple can be found by multiplying the highest exponent prime factors of 8819 and 8825. First we will calculate the prime factors of 8819 and 8825.

Prime Factorization of 8819


8819 8819
1

Prime factors of 8819 are 8819. Prime factorization of 8819 in exponential form is:

8819 = 88191

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8819 and 8825.

LCM(8819,8825) = 52×3531×88191
LCM(8819,8825) = 77827675

Factors of 8819

List of positive integer factors of 8819 that divides 8819 without a remainder.

1, 8819

Factors of 8825

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

1, 5, 25, 353, 1765, 8825

Least Common Multiple of 8819 and 8825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8819 and 8825, than apply into the LCM equation.

GCF(8819,8825) = 1
LCM(8819,8825) = ( 8819 × 8825) / 1
LCM(8819,8825) = 77827675 / 1
LCM(8819,8825) = 77827675

Properties of LCM 8819 and 8825

(i) The LCM of 8825 and 8819 is associative

LCM of 8819 and 8825 = LCM of 8825 and 8819

Related Least Common Multiples of 8819

Related Least Common Multiples of 8825

Frequently Asked Questions on LCM of 8819 and 8825

1. What is the LCM of 8819 and 8825?

Answer: LCM of 8819 and 8825 is 77827675.

2. What are the Factors of 8819?

Answer: Factors of 8819 are 1, 8819. There are 2 integers that are factors of 8819. The greatest factor of 8819 is 8819.

3. 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.

4. How to Find the LCM of 8819 and 8825?

Answer:

Least Common Multiple of 8819 and 8825 = 77827675

Step 1: Find the prime factorization of 8819

8819 = 8819

Step 2: Find the prime factorization of 8825

8825 = 5 x 5 x 353

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

LCM = 77827675 = 5 x 5 x 353 x 8819

Step 4: Therefore, the least common multiple of 8819 and 8825 is 77827675.