Least Common Multiple of 7497 and 7501
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7497 and 7501 the smallest integer that is 56234997 that is divisible by both numbers.
Least Common Multiple (LCM) of 7497 and 7501 is 56234997.
LCM(7497,7501) = 56234997
LCM of 7497 and 7501
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7497 and 7501 by Prime method
- Least Common Multiple of 7497 and 7501 with GCF Formula
LCM of 7497 and 7501 is 56234997
Least common multiple can be found by multiplying the highest exponent prime factors of 7497 and 7501. First we will calculate the prime factors of 7497 and 7501.
Prime Factorization of 7497
| 3 | 7497 |
| 3 | 2499 |
| 7 | 833 |
| 7 | 119 |
| 17 | 17 |
| 1 |
Prime factors of 7497 are 3, 7,17. Prime factorization of 7497 in exponential form is:
7497 = 32×72×171
Prime Factorization of 7501
| 13 | 7501 |
| 577 | 577 |
| 1 |
Prime factors of 7501 are 13,577. Prime factorization of 7501 in exponential form is:
7501 = 131×5771
Now multiplying the highest exponent prime factors to calculate the LCM of 7497 and 7501.
LCM(7497,7501) = 32×72×131×171×5771
LCM(7497,7501) = 56234997
Factors of 7497
List of positive integer factors of 7497 that divides 7497 without a remainder.
1, 3, 7, 9, 17, 21, 49, 51, 63, 119, 147, 153, 357, 441, 833, 1071, 2499, 7497
Factors of 7501
List of positive integer factors of 7501 that divides 7501 without a remainder.
1, 13, 577, 7501
Least Common Multiple of 7497 and 7501 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7497 and 7501, than apply into the LCM equation.
GCF(7497,7501) = 1
LCM(7497,7501) = ( 7497 × 7501) / 1
LCM(7497,7501) = 56234997 / 1
LCM(7497,7501) = 56234997
Properties of LCM 7497 and 7501
(i) The LCM of 7501 and 7497 is associative
LCM of 7497 and 7501 = LCM of 7501 and 7497
Related Least Common Multiples of 7497
Related Least Common Multiples of 7501
Frequently Asked Questions on LCM of 7497 and 7501
1. What is the LCM of 7497 and 7501?
Answer: LCM of 7497 and 7501 is 56234997.
2. What are the Factors of 7497?
Answer: Factors of 7497 are 1, 3, 7, 9, 17, 21, 49, 51, 63, 119, 147, 153, 357, 441, 833, 1071, 2499, 7497. There are 18 integers that are factors of 7497. The greatest factor of 7497 is 7497.
3. What are the Factors of 7501?
Answer: Factors of 7501 are 1, 13, 577, 7501. There are 4 integers that are factors of 7501. The greatest factor of 7501 is 7501.
4. How to Find the LCM of 7497 and 7501?
Answer:
Least Common Multiple of 7497 and 7501 = 56234997
Step 1: Find the prime factorization of 7497
7497 = 3 x 3 x 7 x 7 x 17
Step 2: Find the prime factorization of 7501
7501 = 13 x 577
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 56234997 = 3 x 3 x 7 x 7 x 13 x 17 x 577
Step 4: Therefore, the least common multiple of 7497 and 7501 is 56234997.