Least Common Multiple of 9761 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 9761 and 9765 the smallest integer that is 95316165 that is divisible by both numbers.
Least Common Multiple (LCM) of 9761 and 9765 is 95316165.
LCM(9761,9765) = 95316165
LCM of 9761 and 9765
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9761 and 9765 by Prime method
- Least Common Multiple of 9761 and 9765 with GCF Formula
LCM of 9761 and 9765 is 95316165
Least common multiple can be found by multiplying the highest exponent prime factors of 9761 and 9765. First we will calculate the prime factors of 9761 and 9765.
Prime Factorization of 9761
| 43 | 9761 |
| 227 | 227 |
| 1 |
Prime factors of 9761 are 43,227. Prime factorization of 9761 in exponential form is:
9761 = 431×2271
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 9761 and 9765.
LCM(9761,9765) = 32×51×71×311×431×2271
LCM(9761,9765) = 95316165
Factors of 9761
List of positive integer factors of 9761 that divides 9761 without a remainder.
1, 43, 227, 9761
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 9761 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 9761 and 9765, than apply into the LCM equation.
GCF(9761,9765) = 1
LCM(9761,9765) = ( 9761 × 9765) / 1
LCM(9761,9765) = 95316165 / 1
LCM(9761,9765) = 95316165
Properties of LCM 9761 and 9765
(i) The LCM of 9765 and 9761 is associative
LCM of 9761 and 9765 = LCM of 9765 and 9761
Related Least Common Multiples of 9761
Related Least Common Multiples of 9765
Frequently Asked Questions on LCM of 9761 and 9765
1. What is the LCM of 9761 and 9765?
Answer: LCM of 9761 and 9765 is 95316165.
2. What are the Factors of 9761?
Answer: Factors of 9761 are 1, 43, 227, 9761. There are 4 integers that are factors of 9761. The greatest factor of 9761 is 9761.
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 9761 and 9765?
Answer:
Least Common Multiple of 9761 and 9765 = 95316165
Step 1: Find the prime factorization of 9761
9761 = 43 x 227
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 = 95316165 = 3 x 3 x 5 x 7 x 31 x 43 x 227
Step 4: Therefore, the least common multiple of 9761 and 9765 is 95316165.