Least Common Multiple of 5060 and 5065
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5060 and 5065 the smallest integer that is 5125780 that is divisible by both numbers.
Least Common Multiple (LCM) of 5060 and 5065 is 5125780.
LCM(5060,5065) = 5125780
LCM of 5060 and 5065
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5060 and 5065 by Prime method
- Least Common Multiple of 5060 and 5065 with GCF Formula
LCM of 5060 and 5065 is 5125780
Least common multiple can be found by multiplying the highest exponent prime factors of 5060 and 5065. First we will calculate the prime factors of 5060 and 5065.
Prime Factorization of 5060
| 2 | 5060 |
| 2 | 2530 |
| 5 | 1265 |
| 11 | 253 |
| 23 | 23 |
| 1 |
Prime factors of 5060 are 2, 5, 11,23. Prime factorization of 5060 in exponential form is:
5060 = 22×51×111×231
Prime Factorization of 5065
| 5 | 5065 |
| 1013 | 1013 |
| 1 |
Prime factors of 5065 are 5,1013. Prime factorization of 5065 in exponential form is:
5065 = 51×10131
Now multiplying the highest exponent prime factors to calculate the LCM of 5060 and 5065.
LCM(5060,5065) = 22×51×111×231×10131
LCM(5060,5065) = 5125780
Factors of 5060
List of positive integer factors of 5060 that divides 5060 without a remainder.
1, 2, 4, 5, 10, 11, 20, 22, 23, 44, 46, 55, 92, 110, 115, 220, 230, 253, 460, 506, 1012, 1265, 2530, 5060
Factors of 5065
List of positive integer factors of 5065 that divides 5065 without a remainder.
1, 5, 1013, 5065
Least Common Multiple of 5060 and 5065 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5060 and 5065, than apply into the LCM equation.
GCF(5060,5065) = 5
LCM(5060,5065) = ( 5060 × 5065) / 5
LCM(5060,5065) = 25628900 / 5
LCM(5060,5065) = 5125780
Properties of LCM 5060 and 5065
(i) The LCM of 5065 and 5060 is associative
LCM of 5060 and 5065 = LCM of 5065 and 5060
Related Least Common Multiples of 5060
Related Least Common Multiples of 5065
Frequently Asked Questions on LCM of 5060 and 5065
1. What is the LCM of 5060 and 5065?
Answer: LCM of 5060 and 5065 is 5125780.
2. What are the Factors of 5060?
Answer: Factors of 5060 are 1, 2, 4, 5, 10, 11, 20, 22, 23, 44, 46, 55, 92, 110, 115, 220, 230, 253, 460, 506, 1012, 1265, 2530, 5060. There are 24 integers that are factors of 5060. The greatest factor of 5060 is 5060.
3. What are the Factors of 5065?
Answer: Factors of 5065 are 1, 5, 1013, 5065. There are 4 integers that are factors of 5065. The greatest factor of 5065 is 5065.
4. How to Find the LCM of 5060 and 5065?
Answer:
Least Common Multiple of 5060 and 5065 = 5125780
Step 1: Find the prime factorization of 5060
5060 = 2 x 2 x 5 x 11 x 23
Step 2: Find the prime factorization of 5065
5065 = 5 x 1013
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5125780 = 2 x 2 x 5 x 11 x 23 x 1013
Step 4: Therefore, the least common multiple of 5060 and 5065 is 5125780.