Least Common Multiple of 7259 and 7266
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7259 and 7266 the smallest integer that is 7534842 that is divisible by both numbers.
Least Common Multiple (LCM) of 7259 and 7266 is 7534842.
LCM(7259,7266) = 7534842
LCM of 7259 and 7266
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7259 and 7266 by Prime method
- Least Common Multiple of 7259 and 7266 with GCF Formula
LCM of 7259 and 7266 is 7534842
Least common multiple can be found by multiplying the highest exponent prime factors of 7259 and 7266. First we will calculate the prime factors of 7259 and 7266.
Prime Factorization of 7259
| 7 | 7259 |
| 17 | 1037 |
| 61 | 61 |
| 1 |
Prime factors of 7259 are 7, 17,61. Prime factorization of 7259 in exponential form is:
7259 = 71×171×611
Prime Factorization of 7266
| 2 | 7266 |
| 3 | 3633 |
| 7 | 1211 |
| 173 | 173 |
| 1 |
Prime factors of 7266 are 2, 3, 7,173. Prime factorization of 7266 in exponential form is:
7266 = 21×31×71×1731
Now multiplying the highest exponent prime factors to calculate the LCM of 7259 and 7266.
LCM(7259,7266) = 21×31×71×171×611×1731
LCM(7259,7266) = 7534842
Factors of 7259
List of positive integer factors of 7259 that divides 7259 without a remainder.
1, 7, 17, 61, 119, 427, 1037, 7259
Factors of 7266
List of positive integer factors of 7266 that divides 7266 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 173, 346, 519, 1038, 1211, 2422, 3633, 7266
Least Common Multiple of 7259 and 7266 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7259 and 7266, than apply into the LCM equation.
GCF(7259,7266) = 7
LCM(7259,7266) = ( 7259 × 7266) / 7
LCM(7259,7266) = 52743894 / 7
LCM(7259,7266) = 7534842
Properties of LCM 7259 and 7266
(i) The LCM of 7266 and 7259 is associative
LCM of 7259 and 7266 = LCM of 7266 and 7259
Related Least Common Multiples of 7259
Related Least Common Multiples of 7266
Frequently Asked Questions on LCM of 7259 and 7266
1. What is the LCM of 7259 and 7266?
Answer: LCM of 7259 and 7266 is 7534842.
2. What are the Factors of 7259?
Answer: Factors of 7259 are 1, 7, 17, 61, 119, 427, 1037, 7259. There are 8 integers that are factors of 7259. The greatest factor of 7259 is 7259.
3. What are the Factors of 7266?
Answer: Factors of 7266 are 1, 2, 3, 6, 7, 14, 21, 42, 173, 346, 519, 1038, 1211, 2422, 3633, 7266. There are 16 integers that are factors of 7266. The greatest factor of 7266 is 7266.
4. How to Find the LCM of 7259 and 7266?
Answer:
Least Common Multiple of 7259 and 7266 = 7534842
Step 1: Find the prime factorization of 7259
7259 = 7 x 17 x 61
Step 2: Find the prime factorization of 7266
7266 = 2 x 3 x 7 x 173
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7534842 = 2 x 3 x 7 x 17 x 61 x 173
Step 4: Therefore, the least common multiple of 7259 and 7266 is 7534842.