Least Common Multiple of 9758 and 9765
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9758 and 9765 the smallest integer that is 13612410 that is divisible by both numbers.
Least Common Multiple (LCM) of 9758 and 9765 is 13612410.
LCM(9758,9765) = 13612410
LCM of 9758 and 9765
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9758 and 9765 by Prime method
- Least Common Multiple of 9758 and 9765 with GCF Formula
LCM of 9758 and 9765 is 13612410
Least common multiple can be found by multiplying the highest exponent prime factors of 9758 and 9765. First we will calculate the prime factors of 9758 and 9765.
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
Prime Factorization of 9765
| 3 | 9765 |
| 3 | 3255 |
| 5 | 1085 |
| 7 | 217 |
| 31 | 31 |
| 1 |
Prime factors of 9765 are 3, 5, 7,31. Prime factorization of 9765 in exponential form is:
9765 = 32×51×71×311
Now multiplying the highest exponent prime factors to calculate the LCM of 9758 and 9765.
LCM(9758,9765) = 21×32×51×71×171×311×411
LCM(9758,9765) = 13612410
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
Factors of 9765
List of positive integer factors of 9765 that divides 9765 without a remainder.
1, 3, 5, 7, 9, 15, 21, 31, 35, 45, 63, 93, 105, 155, 217, 279, 315, 465, 651, 1085, 1395, 1953, 3255, 9765
Least Common Multiple of 9758 and 9765 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9758 and 9765, than apply into the LCM equation.
GCF(9758,9765) = 7
LCM(9758,9765) = ( 9758 × 9765) / 7
LCM(9758,9765) = 95286870 / 7
LCM(9758,9765) = 13612410
Properties of LCM 9758 and 9765
(i) The LCM of 9765 and 9758 is associative
LCM of 9758 and 9765 = LCM of 9765 and 9758
Related Least Common Multiples of 9758
Related Least Common Multiples of 9765
Frequently Asked Questions on LCM of 9758 and 9765
1. What is the LCM of 9758 and 9765?
Answer: LCM of 9758 and 9765 is 13612410.
2. 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.
3. What are the Factors of 9765?
Answer: Factors of 9765 are 1, 3, 5, 7, 9, 15, 21, 31, 35, 45, 63, 93, 105, 155, 217, 279, 315, 465, 651, 1085, 1395, 1953, 3255, 9765. There are 24 integers that are factors of 9765. The greatest factor of 9765 is 9765.
4. How to Find the LCM of 9758 and 9765?
Answer:
Least Common Multiple of 9758 and 9765 = 13612410
Step 1: Find the prime factorization of 9758
9758 = 2 x 7 x 17 x 41
Step 2: Find the prime factorization of 9765
9765 = 3 x 3 x 5 x 7 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13612410 = 2 x 3 x 3 x 5 x 7 x 17 x 31 x 41
Step 4: Therefore, the least common multiple of 9758 and 9765 is 13612410.