Least Common Multiple of 2501 and 2509
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2501 and 2509 the smallest integer that is 6275009 that is divisible by both numbers.
Least Common Multiple (LCM) of 2501 and 2509 is 6275009.
LCM(2501,2509) = 6275009
LCM of 2501 and 2509
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2501 and 2509 by Prime method
- Least Common Multiple of 2501 and 2509 with GCF Formula
LCM of 2501 and 2509 is 6275009
Least common multiple can be found by multiplying the highest exponent prime factors of 2501 and 2509. First we will calculate the prime factors of 2501 and 2509.
Prime Factorization of 2501
| 41 | 2501 |
| 61 | 61 |
| 1 |
Prime factors of 2501 are 41,61. Prime factorization of 2501 in exponential form is:
2501 = 411×611
Prime Factorization of 2509
| 13 | 2509 |
| 193 | 193 |
| 1 |
Prime factors of 2509 are 13,193. Prime factorization of 2509 in exponential form is:
2509 = 131×1931
Now multiplying the highest exponent prime factors to calculate the LCM of 2501 and 2509.
LCM(2501,2509) = 131×411×611×1931
LCM(2501,2509) = 6275009
Factors of 2501
List of positive integer factors of 2501 that divides 2501 without a remainder.
1, 41, 61, 2501
Factors of 2509
List of positive integer factors of 2509 that divides 2509 without a remainder.
1, 13, 193, 2509
Least Common Multiple of 2501 and 2509 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2501 and 2509, than apply into the LCM equation.
GCF(2501,2509) = 1
LCM(2501,2509) = ( 2501 × 2509) / 1
LCM(2501,2509) = 6275009 / 1
LCM(2501,2509) = 6275009
Properties of LCM 2501 and 2509
(i) The LCM of 2509 and 2501 is associative
LCM of 2501 and 2509 = LCM of 2509 and 2501
Related Least Common Multiples of 2501
Related Least Common Multiples of 2509
Frequently Asked Questions on LCM of 2501 and 2509
1. What is the LCM of 2501 and 2509?
Answer: LCM of 2501 and 2509 is 6275009.
2. What are the Factors of 2501?
Answer: Factors of 2501 are 1, 41, 61, 2501. There are 4 integers that are factors of 2501. The greatest factor of 2501 is 2501.
3. What are the Factors of 2509?
Answer: Factors of 2509 are 1, 13, 193, 2509. There are 4 integers that are factors of 2509. The greatest factor of 2509 is 2509.
4. How to Find the LCM of 2501 and 2509?
Answer:
Least Common Multiple of 2501 and 2509 = 6275009
Step 1: Find the prime factorization of 2501
2501 = 41 x 61
Step 2: Find the prime factorization of 2509
2509 = 13 x 193
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6275009 = 13 x 41 x 61 x 193
Step 4: Therefore, the least common multiple of 2501 and 2509 is 6275009.