Least Common Multiple of 9751 and 9758
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9751 and 9758 the smallest integer that is 13592894 that is divisible by both numbers.
Least Common Multiple (LCM) of 9751 and 9758 is 13592894.
LCM(9751,9758) = 13592894
LCM of 9751 and 9758
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9751 and 9758 by Prime method
- Least Common Multiple of 9751 and 9758 with GCF Formula
LCM of 9751 and 9758 is 13592894
Least common multiple can be found by multiplying the highest exponent prime factors of 9751 and 9758. First we will calculate the prime factors of 9751 and 9758.
Prime Factorization of 9751
| 7 | 9751 |
| 7 | 1393 |
| 199 | 199 |
| 1 |
Prime factors of 9751 are 7,199. Prime factorization of 9751 in exponential form is:
9751 = 72×1991
Prime Factorization of 9758
| 2 | 9758 |
| 7 | 4879 |
| 17 | 697 |
| 41 | 41 |
| 1 |
Prime factors of 9758 are 2, 7, 17,41. Prime factorization of 9758 in exponential form is:
9758 = 21×71×171×411
Now multiplying the highest exponent prime factors to calculate the LCM of 9751 and 9758.
LCM(9751,9758) = 21×72×171×411×1991
LCM(9751,9758) = 13592894
Factors of 9751
List of positive integer factors of 9751 that divides 9751 without a remainder.
1, 7, 49, 199, 1393, 9751
Factors of 9758
List of positive integer factors of 9758 that divides 9758 without a remainder.
1, 2, 7, 14, 17, 34, 41, 82, 119, 238, 287, 574, 697, 1394, 4879, 9758
Least Common Multiple of 9751 and 9758 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9751 and 9758, than apply into the LCM equation.
GCF(9751,9758) = 7
LCM(9751,9758) = ( 9751 × 9758) / 7
LCM(9751,9758) = 95150258 / 7
LCM(9751,9758) = 13592894
Properties of LCM 9751 and 9758
(i) The LCM of 9758 and 9751 is associative
LCM of 9751 and 9758 = LCM of 9758 and 9751
Related Least Common Multiples of 9751
Related Least Common Multiples of 9758
Frequently Asked Questions on LCM of 9751 and 9758
1. What is the LCM of 9751 and 9758?
Answer: LCM of 9751 and 9758 is 13592894.
2. What are the Factors of 9751?
Answer: Factors of 9751 are 1, 7, 49, 199, 1393, 9751. There are 6 integers that are factors of 9751. The greatest factor of 9751 is 9751.
3. What are the Factors of 9758?
Answer: Factors of 9758 are 1, 2, 7, 14, 17, 34, 41, 82, 119, 238, 287, 574, 697, 1394, 4879, 9758. There are 16 integers that are factors of 9758. The greatest factor of 9758 is 9758.
4. How to Find the LCM of 9751 and 9758?
Answer:
Least Common Multiple of 9751 and 9758 = 13592894
Step 1: Find the prime factorization of 9751
9751 = 7 x 7 x 199
Step 2: Find the prime factorization of 9758
9758 = 2 x 7 x 17 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13592894 = 2 x 7 x 7 x 17 x 41 x 199
Step 4: Therefore, the least common multiple of 9751 and 9758 is 13592894.