Least Common Multiple of 9729 and 9737
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9729 and 9737 the smallest integer that is 94731273 that is divisible by both numbers.
Least Common Multiple (LCM) of 9729 and 9737 is 94731273.
LCM(9729,9737) = 94731273
LCM of 9729 and 9737
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9729 and 9737 by Prime method
- Least Common Multiple of 9729 and 9737 with GCF Formula
LCM of 9729 and 9737 is 94731273
Least common multiple can be found by multiplying the highest exponent prime factors of 9729 and 9737. First we will calculate the prime factors of 9729 and 9737.
Prime Factorization of 9729
| 3 | 9729 |
| 3 | 3243 |
| 23 | 1081 |
| 47 | 47 |
| 1 |
Prime factors of 9729 are 3, 23,47. Prime factorization of 9729 in exponential form is:
9729 = 32×231×471
Prime Factorization of 9737
| 7 | 9737 |
| 13 | 1391 |
| 107 | 107 |
| 1 |
Prime factors of 9737 are 7, 13,107. Prime factorization of 9737 in exponential form is:
9737 = 71×131×1071
Now multiplying the highest exponent prime factors to calculate the LCM of 9729 and 9737.
LCM(9729,9737) = 32×71×131×231×471×1071
LCM(9729,9737) = 94731273
Factors of 9729
List of positive integer factors of 9729 that divides 9729 without a remainder.
1, 3, 9, 23, 47, 69, 141, 207, 423, 1081, 3243, 9729
Factors of 9737
List of positive integer factors of 9737 that divides 9737 without a remainder.
1, 7, 13, 91, 107, 749, 1391, 9737
Least Common Multiple of 9729 and 9737 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9729 and 9737, than apply into the LCM equation.
GCF(9729,9737) = 1
LCM(9729,9737) = ( 9729 × 9737) / 1
LCM(9729,9737) = 94731273 / 1
LCM(9729,9737) = 94731273
Properties of LCM 9729 and 9737
(i) The LCM of 9737 and 9729 is associative
LCM of 9729 and 9737 = LCM of 9737 and 9729
Related Least Common Multiples of 9729
Related Least Common Multiples of 9737
Frequently Asked Questions on LCM of 9729 and 9737
1. What is the LCM of 9729 and 9737?
Answer: LCM of 9729 and 9737 is 94731273.
2. What are the Factors of 9729?
Answer: Factors of 9729 are 1, 3, 9, 23, 47, 69, 141, 207, 423, 1081, 3243, 9729. There are 12 integers that are factors of 9729. The greatest factor of 9729 is 9729.
3. What are the Factors of 9737?
Answer: Factors of 9737 are 1, 7, 13, 91, 107, 749, 1391, 9737. There are 8 integers that are factors of 9737. The greatest factor of 9737 is 9737.
4. How to Find the LCM of 9729 and 9737?
Answer:
Least Common Multiple of 9729 and 9737 = 94731273
Step 1: Find the prime factorization of 9729
9729 = 3 x 3 x 23 x 47
Step 2: Find the prime factorization of 9737
9737 = 7 x 13 x 107
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 94731273 = 3 x 3 x 7 x 13 x 23 x 47 x 107
Step 4: Therefore, the least common multiple of 9729 and 9737 is 94731273.