Least Common Multiple of 9685 and 9690
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9685 and 9690 the smallest integer that is 18769530 that is divisible by both numbers.
Least Common Multiple (LCM) of 9685 and 9690 is 18769530.
LCM(9685,9690) = 18769530
LCM of 9685 and 9690
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9685 and 9690 by Prime method
- Least Common Multiple of 9685 and 9690 with GCF Formula
LCM of 9685 and 9690 is 18769530
Least common multiple can be found by multiplying the highest exponent prime factors of 9685 and 9690. First we will calculate the prime factors of 9685 and 9690.
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
Prime Factorization of 9690
| 2 | 9690 |
| 3 | 4845 |
| 5 | 1615 |
| 17 | 323 |
| 19 | 19 |
| 1 |
Prime factors of 9690 are 2, 3, 5, 17,19. Prime factorization of 9690 in exponential form is:
9690 = 21×31×51×171×191
Now multiplying the highest exponent prime factors to calculate the LCM of 9685 and 9690.
LCM(9685,9690) = 21×31×51×131×171×191×1491
LCM(9685,9690) = 18769530
Factors of 9685
List of positive integer factors of 9685 that divides 9685 without a remainder.
1, 5, 13, 65, 149, 745, 1937, 9685
Factors of 9690
List of positive integer factors of 9690 that divides 9690 without a remainder.
1, 2, 3, 5, 6, 10, 15, 17, 19, 30, 34, 38, 51, 57, 85, 95, 102, 114, 170, 190, 255, 285, 323, 510, 570, 646, 969, 1615, 1938, 3230, 4845, 9690
Least Common Multiple of 9685 and 9690 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9685 and 9690, than apply into the LCM equation.
GCF(9685,9690) = 5
LCM(9685,9690) = ( 9685 × 9690) / 5
LCM(9685,9690) = 93847650 / 5
LCM(9685,9690) = 18769530
Properties of LCM 9685 and 9690
(i) The LCM of 9690 and 9685 is associative
LCM of 9685 and 9690 = LCM of 9690 and 9685
Related Least Common Multiples of 9685
Related Least Common Multiples of 9690
Frequently Asked Questions on LCM of 9685 and 9690
1. What is the LCM of 9685 and 9690?
Answer: LCM of 9685 and 9690 is 18769530.
2. 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.
3. What are the Factors of 9690?
Answer: Factors of 9690 are 1, 2, 3, 5, 6, 10, 15, 17, 19, 30, 34, 38, 51, 57, 85, 95, 102, 114, 170, 190, 255, 285, 323, 510, 570, 646, 969, 1615, 1938, 3230, 4845, 9690. There are 32 integers that are factors of 9690. The greatest factor of 9690 is 9690.
4. How to Find the LCM of 9685 and 9690?
Answer:
Least Common Multiple of 9685 and 9690 = 18769530
Step 1: Find the prime factorization of 9685
9685 = 5 x 13 x 149
Step 2: Find the prime factorization of 9690
9690 = 2 x 3 x 5 x 17 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 18769530 = 2 x 3 x 5 x 13 x 17 x 19 x 149
Step 4: Therefore, the least common multiple of 9685 and 9690 is 18769530.