Least Common Multiple of 5035 and 5041
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 5041 the smallest integer that is 25381435 that is divisible by both numbers.
Least Common Multiple (LCM) of 5035 and 5041 is 25381435.
LCM(5035,5041) = 25381435
LCM of 5035 and 5041
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5035 and 5041 by Prime method
- Least Common Multiple of 5035 and 5041 with GCF Formula
LCM of 5035 and 5041 is 25381435
Least common multiple can be found by multiplying the highest exponent prime factors of 5035 and 5041. First we will calculate the prime factors of 5035 and 5041.
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 5041
| 71 | 5041 |
| 71 | 71 |
| 1 |
Prime factors of 5041 are 71. Prime factorization of 5041 in exponential form is:
5041 = 712
Now multiplying the highest exponent prime factors to calculate the LCM of 5035 and 5041.
LCM(5035,5041) = 51×191×531×712
LCM(5035,5041) = 25381435
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 5041
List of positive integer factors of 5041 that divides 5041 without a remainder.
1, 71, 5041
Least Common Multiple of 5035 and 5041 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 5041, than apply into the LCM equation.
GCF(5035,5041) = 1
LCM(5035,5041) = ( 5035 × 5041) / 1
LCM(5035,5041) = 25381435 / 1
LCM(5035,5041) = 25381435
Properties of LCM 5035 and 5041
(i) The LCM of 5041 and 5035 is associative
LCM of 5035 and 5041 = LCM of 5041 and 5035
Related Least Common Multiples of 5035
Related Least Common Multiples of 5041
Frequently Asked Questions on LCM of 5035 and 5041
1. What is the LCM of 5035 and 5041?
Answer: LCM of 5035 and 5041 is 25381435.
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 5041?
Answer: Factors of 5041 are 1, 71, 5041. There are 3 integers that are factors of 5041. The greatest factor of 5041 is 5041.
4. How to Find the LCM of 5035 and 5041?
Answer:
Least Common Multiple of 5035 and 5041 = 25381435
Step 1: Find the prime factorization of 5035
5035 = 5 x 19 x 53
Step 2: Find the prime factorization of 5041
5041 = 71 x 71
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 25381435 = 5 x 19 x 53 x 71 x 71
Step 4: Therefore, the least common multiple of 5035 and 5041 is 25381435.