Least Common Multiple of 5035 and 5043
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 5043 the smallest integer that is 25391505 that is divisible by both numbers.
Least Common Multiple (LCM) of 5035 and 5043 is 25391505.
LCM(5035,5043) = 25391505
LCM of 5035 and 5043
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5035 and 5043 by Prime method
- Least Common Multiple of 5035 and 5043 with GCF Formula
LCM of 5035 and 5043 is 25391505
Least common multiple can be found by multiplying the highest exponent prime factors of 5035 and 5043. First we will calculate the prime factors of 5035 and 5043.
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 5043
| 3 | 5043 |
| 41 | 1681 |
| 41 | 41 |
| 1 |
Prime factors of 5043 are 3,41. Prime factorization of 5043 in exponential form is:
5043 = 31×412
Now multiplying the highest exponent prime factors to calculate the LCM of 5035 and 5043.
LCM(5035,5043) = 31×51×191×412×531
LCM(5035,5043) = 25391505
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 5043
List of positive integer factors of 5043 that divides 5043 without a remainder.
1, 3, 41, 123, 1681, 5043
Least Common Multiple of 5035 and 5043 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 5043, than apply into the LCM equation.
GCF(5035,5043) = 1
LCM(5035,5043) = ( 5035 × 5043) / 1
LCM(5035,5043) = 25391505 / 1
LCM(5035,5043) = 25391505
Properties of LCM 5035 and 5043
(i) The LCM of 5043 and 5035 is associative
LCM of 5035 and 5043 = LCM of 5043 and 5035
Related Least Common Multiples of 5035
Related Least Common Multiples of 5043
Frequently Asked Questions on LCM of 5035 and 5043
1. What is the LCM of 5035 and 5043?
Answer: LCM of 5035 and 5043 is 25391505.
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 5043?
Answer: Factors of 5043 are 1, 3, 41, 123, 1681, 5043. There are 6 integers that are factors of 5043. The greatest factor of 5043 is 5043.
4. How to Find the LCM of 5035 and 5043?
Answer:
Least Common Multiple of 5035 and 5043 = 25391505
Step 1: Find the prime factorization of 5035
5035 = 5 x 19 x 53
Step 2: Find the prime factorization of 5043
5043 = 3 x 41 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 = 25391505 = 3 x 5 x 19 x 41 x 41 x 53
Step 4: Therefore, the least common multiple of 5035 and 5043 is 25391505.