Least Common Multiple of 5109 and 5115
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5109 and 5115 the smallest integer that is 8710845 that is divisible by both numbers.
Least Common Multiple (LCM) of 5109 and 5115 is 8710845.
LCM(5109,5115) = 8710845
LCM of 5109 and 5115
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5109 and 5115 by Prime method
- Least Common Multiple of 5109 and 5115 with GCF Formula
LCM of 5109 and 5115 is 8710845
Least common multiple can be found by multiplying the highest exponent prime factors of 5109 and 5115. First we will calculate the prime factors of 5109 and 5115.
Prime Factorization of 5109
| 3 | 5109 |
| 13 | 1703 |
| 131 | 131 |
| 1 |
Prime factors of 5109 are 3, 13,131. Prime factorization of 5109 in exponential form is:
5109 = 31×131×1311
Prime Factorization of 5115
| 3 | 5115 |
| 5 | 1705 |
| 11 | 341 |
| 31 | 31 |
| 1 |
Prime factors of 5115 are 3, 5, 11,31. Prime factorization of 5115 in exponential form is:
5115 = 31×51×111×311
Now multiplying the highest exponent prime factors to calculate the LCM of 5109 and 5115.
LCM(5109,5115) = 31×51×111×131×311×1311
LCM(5109,5115) = 8710845
Factors of 5109
List of positive integer factors of 5109 that divides 5109 without a remainder.
1, 3, 13, 39, 131, 393, 1703, 5109
Factors of 5115
List of positive integer factors of 5115 that divides 5115 without a remainder.
1, 3, 5, 11, 15, 31, 33, 55, 93, 155, 165, 341, 465, 1023, 1705, 5115
Least Common Multiple of 5109 and 5115 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5109 and 5115, than apply into the LCM equation.
GCF(5109,5115) = 3
LCM(5109,5115) = ( 5109 × 5115) / 3
LCM(5109,5115) = 26132535 / 3
LCM(5109,5115) = 8710845
Properties of LCM 5109 and 5115
(i) The LCM of 5115 and 5109 is associative
LCM of 5109 and 5115 = LCM of 5115 and 5109
Related Least Common Multiples of 5109
Related Least Common Multiples of 5115
Frequently Asked Questions on LCM of 5109 and 5115
1. What is the LCM of 5109 and 5115?
Answer: LCM of 5109 and 5115 is 8710845.
2. What are the Factors of 5109?
Answer: Factors of 5109 are 1, 3, 13, 39, 131, 393, 1703, 5109. There are 8 integers that are factors of 5109. The greatest factor of 5109 is 5109.
3. What are the Factors of 5115?
Answer: Factors of 5115 are 1, 3, 5, 11, 15, 31, 33, 55, 93, 155, 165, 341, 465, 1023, 1705, 5115. There are 16 integers that are factors of 5115. The greatest factor of 5115 is 5115.
4. How to Find the LCM of 5109 and 5115?
Answer:
Least Common Multiple of 5109 and 5115 = 8710845
Step 1: Find the prime factorization of 5109
5109 = 3 x 13 x 131
Step 2: Find the prime factorization of 5115
5115 = 3 x 5 x 11 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 = 8710845 = 3 x 5 x 11 x 13 x 31 x 131
Step 4: Therefore, the least common multiple of 5109 and 5115 is 8710845.