Least Common Multiple of 5121 and 5125
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5121 and 5125 the smallest integer that is 26245125 that is divisible by both numbers.
Least Common Multiple (LCM) of 5121 and 5125 is 26245125.
LCM(5121,5125) = 26245125
LCM of 5121 and 5125
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5121 and 5125 by Prime method
- Least Common Multiple of 5121 and 5125 with GCF Formula
LCM of 5121 and 5125 is 26245125
Least common multiple can be found by multiplying the highest exponent prime factors of 5121 and 5125. First we will calculate the prime factors of 5121 and 5125.
Prime Factorization of 5121
| 3 | 5121 |
| 3 | 1707 |
| 569 | 569 |
| 1 |
Prime factors of 5121 are 3,569. Prime factorization of 5121 in exponential form is:
5121 = 32×5691
Prime Factorization of 5125
| 5 | 5125 |
| 5 | 1025 |
| 5 | 205 |
| 41 | 41 |
| 1 |
Prime factors of 5125 are 5,41. Prime factorization of 5125 in exponential form is:
5125 = 53×411
Now multiplying the highest exponent prime factors to calculate the LCM of 5121 and 5125.
LCM(5121,5125) = 32×53×411×5691
LCM(5121,5125) = 26245125
Factors of 5121
List of positive integer factors of 5121 that divides 5121 without a remainder.
1, 3, 9, 569, 1707, 5121
Factors of 5125
List of positive integer factors of 5125 that divides 5125 without a remainder.
1, 5, 25, 41, 125, 205, 1025, 5125
Least Common Multiple of 5121 and 5125 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5121 and 5125, than apply into the LCM equation.
GCF(5121,5125) = 1
LCM(5121,5125) = ( 5121 × 5125) / 1
LCM(5121,5125) = 26245125 / 1
LCM(5121,5125) = 26245125
Properties of LCM 5121 and 5125
(i) The LCM of 5125 and 5121 is associative
LCM of 5121 and 5125 = LCM of 5125 and 5121
Related Least Common Multiples of 5121
Related Least Common Multiples of 5125
Frequently Asked Questions on LCM of 5121 and 5125
1. What is the LCM of 5121 and 5125?
Answer: LCM of 5121 and 5125 is 26245125.
2. What are the Factors of 5121?
Answer: Factors of 5121 are 1, 3, 9, 569, 1707, 5121. There are 6 integers that are factors of 5121. The greatest factor of 5121 is 5121.
3. What are the Factors of 5125?
Answer: Factors of 5125 are 1, 5, 25, 41, 125, 205, 1025, 5125. There are 8 integers that are factors of 5125. The greatest factor of 5125 is 5125.
4. How to Find the LCM of 5121 and 5125?
Answer:
Least Common Multiple of 5121 and 5125 = 26245125
Step 1: Find the prime factorization of 5121
5121 = 3 x 3 x 569
Step 2: Find the prime factorization of 5125
5125 = 5 x 5 x 5 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 26245125 = 3 x 3 x 5 x 5 x 5 x 41 x 569
Step 4: Therefore, the least common multiple of 5121 and 5125 is 26245125.