Least Common Multiple of 8825 and 8827
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 8827 the smallest integer that is 77898275 that is divisible by both numbers.
Least Common Multiple (LCM) of 8825 and 8827 is 77898275.
LCM(8825,8827) = 77898275
LCM of 8825 and 8827
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8825 and 8827 by Prime method
- Least Common Multiple of 8825 and 8827 with GCF Formula
LCM of 8825 and 8827 is 77898275
Least common multiple can be found by multiplying the highest exponent prime factors of 8825 and 8827. First we will calculate the prime factors of 8825 and 8827.
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 8827
| 7 | 8827 |
| 13 | 1261 |
| 97 | 97 |
| 1 |
Prime factors of 8827 are 7, 13,97. Prime factorization of 8827 in exponential form is:
8827 = 71×131×971
Now multiplying the highest exponent prime factors to calculate the LCM of 8825 and 8827.
LCM(8825,8827) = 52×71×131×971×3531
LCM(8825,8827) = 77898275
Factors of 8825
List of positive integer factors of 8825 that divides 8825 without a remainder.
1, 5, 25, 353, 1765, 8825
Factors of 8827
List of positive integer factors of 8827 that divides 8827 without a remainder.
1, 7, 13, 91, 97, 679, 1261, 8827
Least Common Multiple of 8825 and 8827 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 8827, than apply into the LCM equation.
GCF(8825,8827) = 1
LCM(8825,8827) = ( 8825 × 8827) / 1
LCM(8825,8827) = 77898275 / 1
LCM(8825,8827) = 77898275
Properties of LCM 8825 and 8827
(i) The LCM of 8827 and 8825 is associative
LCM of 8825 and 8827 = LCM of 8827 and 8825
Related Least Common Multiples of 8825
Related Least Common Multiples of 8827
Frequently Asked Questions on LCM of 8825 and 8827
1. What is the LCM of 8825 and 8827?
Answer: LCM of 8825 and 8827 is 77898275.
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 8827?
Answer: Factors of 8827 are 1, 7, 13, 91, 97, 679, 1261, 8827. There are 8 integers that are factors of 8827. The greatest factor of 8827 is 8827.
4. How to Find the LCM of 8825 and 8827?
Answer:
Least Common Multiple of 8825 and 8827 = 77898275
Step 1: Find the prime factorization of 8825
8825 = 5 x 5 x 353
Step 2: Find the prime factorization of 8827
8827 = 7 x 13 x 97
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 77898275 = 5 x 5 x 7 x 13 x 97 x 353
Step 4: Therefore, the least common multiple of 8825 and 8827 is 77898275.
