Least Common Multiple of 7497 and 7505
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 7505 the smallest integer that is 56264985 that is divisible by both numbers.
Least Common Multiple (LCM) of 7497 and 7505 is 56264985.
LCM(7497,7505) = 56264985
LCM of 7497 and 7505
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7497 and 7505 by Prime method
- Least Common Multiple of 7497 and 7505 with GCF Formula
LCM of 7497 and 7505 is 56264985
Least common multiple can be found by multiplying the highest exponent prime factors of 7497 and 7505. First we will calculate the prime factors of 7497 and 7505.
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 7505
| 5 | 7505 |
| 19 | 1501 |
| 79 | 79 |
| 1 |
Prime factors of 7505 are 5, 19,79. Prime factorization of 7505 in exponential form is:
7505 = 51×191×791
Now multiplying the highest exponent prime factors to calculate the LCM of 7497 and 7505.
LCM(7497,7505) = 32×51×72×171×191×791
LCM(7497,7505) = 56264985
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 7505
List of positive integer factors of 7505 that divides 7505 without a remainder.
1, 5, 19, 79, 95, 395, 1501, 7505
Least Common Multiple of 7497 and 7505 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 7505, than apply into the LCM equation.
GCF(7497,7505) = 1
LCM(7497,7505) = ( 7497 × 7505) / 1
LCM(7497,7505) = 56264985 / 1
LCM(7497,7505) = 56264985
Properties of LCM 7497 and 7505
(i) The LCM of 7505 and 7497 is associative
LCM of 7497 and 7505 = LCM of 7505 and 7497
Related Least Common Multiples of 7497
Related Least Common Multiples of 7505
Frequently Asked Questions on LCM of 7497 and 7505
1. What is the LCM of 7497 and 7505?
Answer: LCM of 7497 and 7505 is 56264985.
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 7505?
Answer: Factors of 7505 are 1, 5, 19, 79, 95, 395, 1501, 7505. There are 8 integers that are factors of 7505. The greatest factor of 7505 is 7505.
4. How to Find the LCM of 7497 and 7505?
Answer:
Least Common Multiple of 7497 and 7505 = 56264985
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 7505
7505 = 5 x 19 x 79
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 56264985 = 3 x 3 x 5 x 7 x 7 x 17 x 19 x 79
Step 4: Therefore, the least common multiple of 7497 and 7505 is 56264985.