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 8828 the smallest integer that is 77907100 that is divisible by both numbers.
Least Common Multiple (LCM) of 8825 and 8828 is 77907100.
LCM(8825,8828) = 77907100
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 8825 and 8828. First we will calculate the prime factors of 8825 and 8828.
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 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
Now multiplying the highest exponent prime factors to calculate the LCM of 8825 and 8828.
LCM(8825,8828) = 22×52×3531×22071
LCM(8825,8828) = 77907100
Factors of 8825
List of positive integer factors of 8825 that divides 8825 without a remainder.
1, 5, 25, 353, 1765, 8825
Factors of 8828
List of positive integer factors of 8828 that divides 8828 without a remainder.
1, 2, 4, 2207, 4414, 8828
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8825 and 8828, than apply into the LCM equation.
GCF(8825,8828) = 1
LCM(8825,8828) = ( 8825 × 8828) / 1
LCM(8825,8828) = 77907100 / 1
LCM(8825,8828) = 77907100
(i) The LCM of 8828 and 8825 is associative
LCM of 8825 and 8828 = LCM of 8828 and 8825
1. What is the LCM of 8825 and 8828?
Answer: LCM of 8825 and 8828 is 77907100.
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 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.
4. How to Find the LCM of 8825 and 8828?
Answer:
Least Common Multiple of 8825 and 8828 = 77907100
Step 1: Find the prime factorization of 8825
8825 = 5 x 5 x 353
Step 2: Find the prime factorization of 8828
8828 = 2 x 2 x 2207
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 77907100 = 2 x 2 x 5 x 5 x 353 x 2207
Step 4: Therefore, the least common multiple of 8825 and 8828 is 77907100.