Least Common Multiple of 5115 and 5123
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5115 and 5123 the smallest integer that is 26204145 that is divisible by both numbers.
Least Common Multiple (LCM) of 5115 and 5123 is 26204145.
LCM(5115,5123) = 26204145
LCM of 5115 and 5123
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5115 and 5123 by Prime method
- Least Common Multiple of 5115 and 5123 with GCF Formula
LCM of 5115 and 5123 is 26204145
Least common multiple can be found by multiplying the highest exponent prime factors of 5115 and 5123. First we will calculate the prime factors of 5115 and 5123.
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
Prime Factorization of 5123
| 47 | 5123 |
| 109 | 109 |
| 1 |
Prime factors of 5123 are 47,109. Prime factorization of 5123 in exponential form is:
5123 = 471×1091
Now multiplying the highest exponent prime factors to calculate the LCM of 5115 and 5123.
LCM(5115,5123) = 31×51×111×311×471×1091
LCM(5115,5123) = 26204145
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
Factors of 5123
List of positive integer factors of 5123 that divides 5123 without a remainder.
1, 47, 109, 5123
Least Common Multiple of 5115 and 5123 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5115 and 5123, than apply into the LCM equation.
GCF(5115,5123) = 1
LCM(5115,5123) = ( 5115 × 5123) / 1
LCM(5115,5123) = 26204145 / 1
LCM(5115,5123) = 26204145
Properties of LCM 5115 and 5123
(i) The LCM of 5123 and 5115 is associative
LCM of 5115 and 5123 = LCM of 5123 and 5115
Related Least Common Multiples of 5115
Related Least Common Multiples of 5123
Frequently Asked Questions on LCM of 5115 and 5123
1. What is the LCM of 5115 and 5123?
Answer: LCM of 5115 and 5123 is 26204145.
2. 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.
3. What are the Factors of 5123?
Answer: Factors of 5123 are 1, 47, 109, 5123. There are 4 integers that are factors of 5123. The greatest factor of 5123 is 5123.
4. How to Find the LCM of 5115 and 5123?
Answer:
Least Common Multiple of 5115 and 5123 = 26204145
Step 1: Find the prime factorization of 5115
5115 = 3 x 5 x 11 x 31
Step 2: Find the prime factorization of 5123
5123 = 47 x 109
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 26204145 = 3 x 5 x 11 x 31 x 47 x 109
Step 4: Therefore, the least common multiple of 5115 and 5123 is 26204145.