Least Common Multiple of 9681 and 9685
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9681 and 9685 the smallest integer that is 93760485 that is divisible by both numbers.
Least Common Multiple (LCM) of 9681 and 9685 is 93760485.
LCM(9681,9685) = 93760485
LCM of 9681 and 9685
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9681 and 9685 by Prime method
- Least Common Multiple of 9681 and 9685 with GCF Formula
LCM of 9681 and 9685 is 93760485
Least common multiple can be found by multiplying the highest exponent prime factors of 9681 and 9685. First we will calculate the prime factors of 9681 and 9685.
Prime Factorization of 9681
| 3 | 9681 |
| 7 | 3227 |
| 461 | 461 |
| 1 |
Prime factors of 9681 are 3, 7,461. Prime factorization of 9681 in exponential form is:
9681 = 31×71×4611
Prime Factorization of 9685
| 5 | 9685 |
| 13 | 1937 |
| 149 | 149 |
| 1 |
Prime factors of 9685 are 5, 13,149. Prime factorization of 9685 in exponential form is:
9685 = 51×131×1491
Now multiplying the highest exponent prime factors to calculate the LCM of 9681 and 9685.
LCM(9681,9685) = 31×51×71×131×1491×4611
LCM(9681,9685) = 93760485
Factors of 9681
List of positive integer factors of 9681 that divides 9681 without a remainder.
1, 3, 7, 21, 461, 1383, 3227, 9681
Factors of 9685
List of positive integer factors of 9685 that divides 9685 without a remainder.
1, 5, 13, 65, 149, 745, 1937, 9685
Least Common Multiple of 9681 and 9685 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9681 and 9685, than apply into the LCM equation.
GCF(9681,9685) = 1
LCM(9681,9685) = ( 9681 × 9685) / 1
LCM(9681,9685) = 93760485 / 1
LCM(9681,9685) = 93760485
Properties of LCM 9681 and 9685
(i) The LCM of 9685 and 9681 is associative
LCM of 9681 and 9685 = LCM of 9685 and 9681
Related Least Common Multiples of 9681
Related Least Common Multiples of 9685
Frequently Asked Questions on LCM of 9681 and 9685
1. What is the LCM of 9681 and 9685?
Answer: LCM of 9681 and 9685 is 93760485.
2. What are the Factors of 9681?
Answer: Factors of 9681 are 1, 3, 7, 21, 461, 1383, 3227, 9681. There are 8 integers that are factors of 9681. The greatest factor of 9681 is 9681.
3. What are the Factors of 9685?
Answer: Factors of 9685 are 1, 5, 13, 65, 149, 745, 1937, 9685. There are 8 integers that are factors of 9685. The greatest factor of 9685 is 9685.
4. How to Find the LCM of 9681 and 9685?
Answer:
Least Common Multiple of 9681 and 9685 = 93760485
Step 1: Find the prime factorization of 9681
9681 = 3 x 7 x 461
Step 2: Find the prime factorization of 9685
9685 = 5 x 13 x 149
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 93760485 = 3 x 5 x 7 x 13 x 149 x 461
Step 4: Therefore, the least common multiple of 9681 and 9685 is 93760485.