Least Common Multiple of 5123 and 5129
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5123 and 5129 the smallest integer that is 26275867 that is divisible by both numbers.
Least Common Multiple (LCM) of 5123 and 5129 is 26275867.
LCM(5123,5129) = 26275867
LCM of 5123 and 5129
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5123 and 5129 by Prime method
- Least Common Multiple of 5123 and 5129 with GCF Formula
LCM of 5123 and 5129 is 26275867
Least common multiple can be found by multiplying the highest exponent prime factors of 5123 and 5129. First we will calculate the prime factors of 5123 and 5129.
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
Prime Factorization of 5129
| 23 | 5129 |
| 223 | 223 |
| 1 |
Prime factors of 5129 are 23,223. Prime factorization of 5129 in exponential form is:
5129 = 231×2231
Now multiplying the highest exponent prime factors to calculate the LCM of 5123 and 5129.
LCM(5123,5129) = 231×471×1091×2231
LCM(5123,5129) = 26275867
Factors of 5123
List of positive integer factors of 5123 that divides 5123 without a remainder.
1, 47, 109, 5123
Factors of 5129
List of positive integer factors of 5129 that divides 5129 without a remainder.
1, 23, 223, 5129
Least Common Multiple of 5123 and 5129 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5123 and 5129, than apply into the LCM equation.
GCF(5123,5129) = 1
LCM(5123,5129) = ( 5123 × 5129) / 1
LCM(5123,5129) = 26275867 / 1
LCM(5123,5129) = 26275867
Properties of LCM 5123 and 5129
(i) The LCM of 5129 and 5123 is associative
LCM of 5123 and 5129 = LCM of 5129 and 5123
Related Least Common Multiples of 5123
Related Least Common Multiples of 5129
Frequently Asked Questions on LCM of 5123 and 5129
1. What is the LCM of 5123 and 5129?
Answer: LCM of 5123 and 5129 is 26275867.
2. 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.
3. What are the Factors of 5129?
Answer: Factors of 5129 are 1, 23, 223, 5129. There are 4 integers that are factors of 5129. The greatest factor of 5129 is 5129.
4. How to Find the LCM of 5123 and 5129?
Answer:
Least Common Multiple of 5123 and 5129 = 26275867
Step 1: Find the prime factorization of 5123
5123 = 47 x 109
Step 2: Find the prime factorization of 5129
5129 = 23 x 223
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 26275867 = 23 x 47 x 109 x 223
Step 4: Therefore, the least common multiple of 5123 and 5129 is 26275867.