Least Common Multiple of 8827 and 8835
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8827 and 8835 the smallest integer that is 77986545 that is divisible by both numbers.
Least Common Multiple (LCM) of 8827 and 8835 is 77986545.
LCM(8827,8835) = 77986545
LCM of 8827 and 8835
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8827 and 8835 by Prime method
- Least Common Multiple of 8827 and 8835 with GCF Formula
LCM of 8827 and 8835 is 77986545
Least common multiple can be found by multiplying the highest exponent prime factors of 8827 and 8835. First we will calculate the prime factors of 8827 and 8835.
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
Prime Factorization of 8835
| 3 | 8835 |
| 5 | 2945 |
| 19 | 589 |
| 31 | 31 |
| 1 |
Prime factors of 8835 are 3, 5, 19,31. Prime factorization of 8835 in exponential form is:
8835 = 31×51×191×311
Now multiplying the highest exponent prime factors to calculate the LCM of 8827 and 8835.
LCM(8827,8835) = 31×51×71×131×191×311×971
LCM(8827,8835) = 77986545
Factors of 8827
List of positive integer factors of 8827 that divides 8827 without a remainder.
1, 7, 13, 91, 97, 679, 1261, 8827
Factors of 8835
List of positive integer factors of 8835 that divides 8835 without a remainder.
1, 3, 5, 15, 19, 31, 57, 93, 95, 155, 285, 465, 589, 1767, 2945, 8835
Least Common Multiple of 8827 and 8835 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8827 and 8835, than apply into the LCM equation.
GCF(8827,8835) = 1
LCM(8827,8835) = ( 8827 × 8835) / 1
LCM(8827,8835) = 77986545 / 1
LCM(8827,8835) = 77986545
Properties of LCM 8827 and 8835
(i) The LCM of 8835 and 8827 is associative
LCM of 8827 and 8835 = LCM of 8835 and 8827
Related Least Common Multiples of 8827
Related Least Common Multiples of 8835
Frequently Asked Questions on LCM of 8827 and 8835
1. What is the LCM of 8827 and 8835?
Answer: LCM of 8827 and 8835 is 77986545.
2. 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.
3. What are the Factors of 8835?
Answer: Factors of 8835 are 1, 3, 5, 15, 19, 31, 57, 93, 95, 155, 285, 465, 589, 1767, 2945, 8835. There are 16 integers that are factors of 8835. The greatest factor of 8835 is 8835.
4. How to Find the LCM of 8827 and 8835?
Answer:
Least Common Multiple of 8827 and 8835 = 77986545
Step 1: Find the prime factorization of 8827
8827 = 7 x 13 x 97
Step 2: Find the prime factorization of 8835
8835 = 3 x 5 x 19 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 77986545 = 3 x 5 x 7 x 13 x 19 x 31 x 97
Step 4: Therefore, the least common multiple of 8827 and 8835 is 77986545.