Least Common Multiple of 5035 and 5039
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5035 and 5039 the smallest integer that is 25371365 that is divisible by both numbers.
Least Common Multiple (LCM) of 5035 and 5039 is 25371365.
LCM(5035,5039) = 25371365
LCM of 5035 and 5039
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5035 and 5039 by Prime method
- Least Common Multiple of 5035 and 5039 with GCF Formula
LCM of 5035 and 5039 is 25371365
Least common multiple can be found by multiplying the highest exponent prime factors of 5035 and 5039. First we will calculate the prime factors of 5035 and 5039.
Prime Factorization of 5035
| 5 | 5035 |
| 19 | 1007 |
| 53 | 53 |
| 1 |
Prime factors of 5035 are 5, 19,53. Prime factorization of 5035 in exponential form is:
5035 = 51×191×531
Prime Factorization of 5039
| 5039 | 5039 |
| 1 |
Prime factors of 5039 are 5039. Prime factorization of 5039 in exponential form is:
5039 = 50391
Now multiplying the highest exponent prime factors to calculate the LCM of 5035 and 5039.
LCM(5035,5039) = 51×191×531×50391
LCM(5035,5039) = 25371365
Factors of 5035
List of positive integer factors of 5035 that divides 5035 without a remainder.
1, 5, 19, 53, 95, 265, 1007, 5035
Factors of 5039
List of positive integer factors of 5039 that divides 5039 without a remainder.
1, 5039
Least Common Multiple of 5035 and 5039 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5035 and 5039, than apply into the LCM equation.
GCF(5035,5039) = 1
LCM(5035,5039) = ( 5035 × 5039) / 1
LCM(5035,5039) = 25371365 / 1
LCM(5035,5039) = 25371365
Properties of LCM 5035 and 5039
(i) The LCM of 5039 and 5035 is associative
LCM of 5035 and 5039 = LCM of 5039 and 5035
Related Least Common Multiples of 5035
Related Least Common Multiples of 5039
Frequently Asked Questions on LCM of 5035 and 5039
1. What is the LCM of 5035 and 5039?
Answer: LCM of 5035 and 5039 is 25371365.
2. What are the Factors of 5035?
Answer: Factors of 5035 are 1, 5, 19, 53, 95, 265, 1007, 5035. There are 8 integers that are factors of 5035. The greatest factor of 5035 is 5035.
3. What are the Factors of 5039?
Answer: Factors of 5039 are 1, 5039. There are 2 integers that are factors of 5039. The greatest factor of 5039 is 5039.
4. How to Find the LCM of 5035 and 5039?
Answer:
Least Common Multiple of 5035 and 5039 = 25371365
Step 1: Find the prime factorization of 5035
5035 = 5 x 19 x 53
Step 2: Find the prime factorization of 5039
5039 = 5039
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 25371365 = 5 x 19 x 53 x 5039
Step 4: Therefore, the least common multiple of 5035 and 5039 is 25371365.