Least Common Multiple of 7249 and 7257
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7249 and 7257 the smallest integer that is 52605993 that is divisible by both numbers.
Least Common Multiple (LCM) of 7249 and 7257 is 52605993.
LCM(7249,7257) = 52605993
LCM of 7249 and 7257
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7249 and 7257 by Prime method
- Least Common Multiple of 7249 and 7257 with GCF Formula
LCM of 7249 and 7257 is 52605993
Least common multiple can be found by multiplying the highest exponent prime factors of 7249 and 7257. First we will calculate the prime factors of 7249 and 7257.
Prime Factorization of 7249
| 11 | 7249 |
| 659 | 659 |
| 1 |
Prime factors of 7249 are 11,659. Prime factorization of 7249 in exponential form is:
7249 = 111×6591
Prime Factorization of 7257
| 3 | 7257 |
| 41 | 2419 |
| 59 | 59 |
| 1 |
Prime factors of 7257 are 3, 41,59. Prime factorization of 7257 in exponential form is:
7257 = 31×411×591
Now multiplying the highest exponent prime factors to calculate the LCM of 7249 and 7257.
LCM(7249,7257) = 31×111×411×591×6591
LCM(7249,7257) = 52605993
Factors of 7249
List of positive integer factors of 7249 that divides 7249 without a remainder.
1, 11, 659, 7249
Factors of 7257
List of positive integer factors of 7257 that divides 7257 without a remainder.
1, 3, 41, 59, 123, 177, 2419, 7257
Least Common Multiple of 7249 and 7257 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7249 and 7257, than apply into the LCM equation.
GCF(7249,7257) = 1
LCM(7249,7257) = ( 7249 × 7257) / 1
LCM(7249,7257) = 52605993 / 1
LCM(7249,7257) = 52605993
Properties of LCM 7249 and 7257
(i) The LCM of 7257 and 7249 is associative
LCM of 7249 and 7257 = LCM of 7257 and 7249
Related Least Common Multiples of 7249
Related Least Common Multiples of 7257
Frequently Asked Questions on LCM of 7249 and 7257
1. What is the LCM of 7249 and 7257?
Answer: LCM of 7249 and 7257 is 52605993.
2. What are the Factors of 7249?
Answer: Factors of 7249 are 1, 11, 659, 7249. There are 4 integers that are factors of 7249. The greatest factor of 7249 is 7249.
3. What are the Factors of 7257?
Answer: Factors of 7257 are 1, 3, 41, 59, 123, 177, 2419, 7257. There are 8 integers that are factors of 7257. The greatest factor of 7257 is 7257.
4. How to Find the LCM of 7249 and 7257?
Answer:
Least Common Multiple of 7249 and 7257 = 52605993
Step 1: Find the prime factorization of 7249
7249 = 11 x 659
Step 2: Find the prime factorization of 7257
7257 = 3 x 41 x 59
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 52605993 = 3 x 11 x 41 x 59 x 659
Step 4: Therefore, the least common multiple of 7249 and 7257 is 52605993.