Least Common Multiple of 9765 and 9769
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9765 and 9769 the smallest integer that is 95394285 that is divisible by both numbers.
Least Common Multiple (LCM) of 9765 and 9769 is 95394285.
LCM(9765,9769) = 95394285
LCM of 9765 and 9769
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9765 and 9769 by Prime method
- Least Common Multiple of 9765 and 9769 with GCF Formula
LCM of 9765 and 9769 is 95394285
Least common multiple can be found by multiplying the highest exponent prime factors of 9765 and 9769. First we will calculate the prime factors of 9765 and 9769.
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
Prime Factorization of 9769
| 9769 | 9769 |
| 1 |
Prime factors of 9769 are 9769. Prime factorization of 9769 in exponential form is:
9769 = 97691
Now multiplying the highest exponent prime factors to calculate the LCM of 9765 and 9769.
LCM(9765,9769) = 32×51×71×311×97691
LCM(9765,9769) = 95394285
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
Factors of 9769
List of positive integer factors of 9769 that divides 9769 without a remainder.
1, 9769
Least Common Multiple of 9765 and 9769 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9765 and 9769, than apply into the LCM equation.
GCF(9765,9769) = 1
LCM(9765,9769) = ( 9765 × 9769) / 1
LCM(9765,9769) = 95394285 / 1
LCM(9765,9769) = 95394285
Properties of LCM 9765 and 9769
(i) The LCM of 9769 and 9765 is associative
LCM of 9765 and 9769 = LCM of 9769 and 9765
Related Least Common Multiples of 9765
Related Least Common Multiples of 9769
Frequently Asked Questions on LCM of 9765 and 9769
1. What is the LCM of 9765 and 9769?
Answer: LCM of 9765 and 9769 is 95394285.
2. 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.
3. What are the Factors of 9769?
Answer: Factors of 9769 are 1, 9769. There are 2 integers that are factors of 9769. The greatest factor of 9769 is 9769.
4. How to Find the LCM of 9765 and 9769?
Answer:
Least Common Multiple of 9765 and 9769 = 95394285
Step 1: Find the prime factorization of 9765
9765 = 3 x 3 x 5 x 7 x 31
Step 2: Find the prime factorization of 9769
9769 = 9769
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 95394285 = 3 x 3 x 5 x 7 x 31 x 9769
Step 4: Therefore, the least common multiple of 9765 and 9769 is 95394285.