Least Common Multiple of 5065 and 5069
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5065 and 5069 the smallest integer that is 25674485 that is divisible by both numbers.
Least Common Multiple (LCM) of 5065 and 5069 is 25674485.
LCM(5065,5069) = 25674485
LCM of 5065 and 5069
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5065 and 5069 by Prime method
- Least Common Multiple of 5065 and 5069 with GCF Formula
LCM of 5065 and 5069 is 25674485
Least common multiple can be found by multiplying the highest exponent prime factors of 5065 and 5069. First we will calculate the prime factors of 5065 and 5069.
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
Prime Factorization of 5069
| 37 | 5069 |
| 137 | 137 |
| 1 |
Prime factors of 5069 are 37,137. Prime factorization of 5069 in exponential form is:
5069 = 371×1371
Now multiplying the highest exponent prime factors to calculate the LCM of 5065 and 5069.
LCM(5065,5069) = 51×371×1371×10131
LCM(5065,5069) = 25674485
Factors of 5065
List of positive integer factors of 5065 that divides 5065 without a remainder.
1, 5, 1013, 5065
Factors of 5069
List of positive integer factors of 5069 that divides 5069 without a remainder.
1, 37, 137, 5069
Least Common Multiple of 5065 and 5069 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5065 and 5069, than apply into the LCM equation.
GCF(5065,5069) = 1
LCM(5065,5069) = ( 5065 × 5069) / 1
LCM(5065,5069) = 25674485 / 1
LCM(5065,5069) = 25674485
Properties of LCM 5065 and 5069
(i) The LCM of 5069 and 5065 is associative
LCM of 5065 and 5069 = LCM of 5069 and 5065
Related Least Common Multiples of 5065
Related Least Common Multiples of 5069
Frequently Asked Questions on LCM of 5065 and 5069
1. What is the LCM of 5065 and 5069?
Answer: LCM of 5065 and 5069 is 25674485.
2. 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.
3. What are the Factors of 5069?
Answer: Factors of 5069 are 1, 37, 137, 5069. There are 4 integers that are factors of 5069. The greatest factor of 5069 is 5069.
4. How to Find the LCM of 5065 and 5069?
Answer:
Least Common Multiple of 5065 and 5069 = 25674485
Step 1: Find the prime factorization of 5065
5065 = 5 x 1013
Step 2: Find the prime factorization of 5069
5069 = 37 x 137
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 25674485 = 5 x 37 x 137 x 1013
Step 4: Therefore, the least common multiple of 5065 and 5069 is 25674485.