Least Common Multiple of 5035 and 5037
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 5037 the smallest integer that is 25361295 that is divisible by both numbers.
Least Common Multiple (LCM) of 5035 and 5037 is 25361295.
LCM(5035,5037) = 25361295
LCM of 5035 and 5037
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5035 and 5037 by Prime method
- Least Common Multiple of 5035 and 5037 with GCF Formula
LCM of 5035 and 5037 is 25361295
Least common multiple can be found by multiplying the highest exponent prime factors of 5035 and 5037. First we will calculate the prime factors of 5035 and 5037.
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 5037
| 3 | 5037 |
| 23 | 1679 |
| 73 | 73 |
| 1 |
Prime factors of 5037 are 3, 23,73. Prime factorization of 5037 in exponential form is:
5037 = 31×231×731
Now multiplying the highest exponent prime factors to calculate the LCM of 5035 and 5037.
LCM(5035,5037) = 31×51×191×231×531×731
LCM(5035,5037) = 25361295
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 5037
List of positive integer factors of 5037 that divides 5037 without a remainder.
1, 3, 23, 69, 73, 219, 1679, 5037
Least Common Multiple of 5035 and 5037 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 5037, than apply into the LCM equation.
GCF(5035,5037) = 1
LCM(5035,5037) = ( 5035 × 5037) / 1
LCM(5035,5037) = 25361295 / 1
LCM(5035,5037) = 25361295
Properties of LCM 5035 and 5037
(i) The LCM of 5037 and 5035 is associative
LCM of 5035 and 5037 = LCM of 5037 and 5035
Related Least Common Multiples of 5035
Related Least Common Multiples of 5037
Frequently Asked Questions on LCM of 5035 and 5037
1. What is the LCM of 5035 and 5037?
Answer: LCM of 5035 and 5037 is 25361295.
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 5037?
Answer: Factors of 5037 are 1, 3, 23, 69, 73, 219, 1679, 5037. There are 8 integers that are factors of 5037. The greatest factor of 5037 is 5037.
4. How to Find the LCM of 5035 and 5037?
Answer:
Least Common Multiple of 5035 and 5037 = 25361295
Step 1: Find the prime factorization of 5035
5035 = 5 x 19 x 53
Step 2: Find the prime factorization of 5037
5037 = 3 x 23 x 73
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 25361295 = 3 x 5 x 19 x 23 x 53 x 73
Step 4: Therefore, the least common multiple of 5035 and 5037 is 25361295.