Least Common Multiple of 9685 and 9691
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 9691 the smallest integer that is 93857335 that is divisible by both numbers.
Least Common Multiple (LCM) of 9685 and 9691 is 93857335.
LCM(9685,9691) = 93857335
LCM of 9685 and 9691
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9685 and 9691 by Prime method
- Least Common Multiple of 9685 and 9691 with GCF Formula
LCM of 9685 and 9691 is 93857335
Least common multiple can be found by multiplying the highest exponent prime factors of 9685 and 9691. First we will calculate the prime factors of 9685 and 9691.
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 9691
| 11 | 9691 |
| 881 | 881 |
| 1 |
Prime factors of 9691 are 11,881. Prime factorization of 9691 in exponential form is:
9691 = 111×8811
Now multiplying the highest exponent prime factors to calculate the LCM of 9685 and 9691.
LCM(9685,9691) = 51×111×131×1491×8811
LCM(9685,9691) = 93857335
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 9691
List of positive integer factors of 9691 that divides 9691 without a remainder.
1, 11, 881, 9691
Least Common Multiple of 9685 and 9691 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 9691, than apply into the LCM equation.
GCF(9685,9691) = 1
LCM(9685,9691) = ( 9685 × 9691) / 1
LCM(9685,9691) = 93857335 / 1
LCM(9685,9691) = 93857335
Properties of LCM 9685 and 9691
(i) The LCM of 9691 and 9685 is associative
LCM of 9685 and 9691 = LCM of 9691 and 9685
Related Least Common Multiples of 9685
Related Least Common Multiples of 9691
Frequently Asked Questions on LCM of 9685 and 9691
1. What is the LCM of 9685 and 9691?
Answer: LCM of 9685 and 9691 is 93857335.
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 9691?
Answer: Factors of 9691 are 1, 11, 881, 9691. There are 4 integers that are factors of 9691. The greatest factor of 9691 is 9691.
4. How to Find the LCM of 9685 and 9691?
Answer:
Least Common Multiple of 9685 and 9691 = 93857335
Step 1: Find the prime factorization of 9685
9685 = 5 x 13 x 149
Step 2: Find the prime factorization of 9691
9691 = 11 x 881
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 93857335 = 5 x 11 x 13 x 149 x 881
Step 4: Therefore, the least common multiple of 9685 and 9691 is 93857335.