Least Common Multiple of 9735 and 9739
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9735 and 9739 the smallest integer that is 94809165 that is divisible by both numbers.
Least Common Multiple (LCM) of 9735 and 9739 is 94809165.
LCM(9735,9739) = 94809165
LCM of 9735 and 9739
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9735 and 9739 by Prime method
- Least Common Multiple of 9735 and 9739 with GCF Formula
LCM of 9735 and 9739 is 94809165
Least common multiple can be found by multiplying the highest exponent prime factors of 9735 and 9739. First we will calculate the prime factors of 9735 and 9739.
Prime Factorization of 9735
| 3 | 9735 |
| 5 | 3245 |
| 11 | 649 |
| 59 | 59 |
| 1 |
Prime factors of 9735 are 3, 5, 11,59. Prime factorization of 9735 in exponential form is:
9735 = 31×51×111×591
Prime Factorization of 9739
| 9739 | 9739 |
| 1 |
Prime factors of 9739 are 9739. Prime factorization of 9739 in exponential form is:
9739 = 97391
Now multiplying the highest exponent prime factors to calculate the LCM of 9735 and 9739.
LCM(9735,9739) = 31×51×111×591×97391
LCM(9735,9739) = 94809165
Factors of 9735
List of positive integer factors of 9735 that divides 9735 without a remainder.
1, 3, 5, 11, 15, 33, 55, 59, 165, 177, 295, 649, 885, 1947, 3245, 9735
Factors of 9739
List of positive integer factors of 9739 that divides 9739 without a remainder.
1, 9739
Least Common Multiple of 9735 and 9739 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9735 and 9739, than apply into the LCM equation.
GCF(9735,9739) = 1
LCM(9735,9739) = ( 9735 × 9739) / 1
LCM(9735,9739) = 94809165 / 1
LCM(9735,9739) = 94809165
Properties of LCM 9735 and 9739
(i) The LCM of 9739 and 9735 is associative
LCM of 9735 and 9739 = LCM of 9739 and 9735
Related Least Common Multiples of 9735
Related Least Common Multiples of 9739
Frequently Asked Questions on LCM of 9735 and 9739
1. What is the LCM of 9735 and 9739?
Answer: LCM of 9735 and 9739 is 94809165.
2. What are the Factors of 9735?
Answer: Factors of 9735 are 1, 3, 5, 11, 15, 33, 55, 59, 165, 177, 295, 649, 885, 1947, 3245, 9735. There are 16 integers that are factors of 9735. The greatest factor of 9735 is 9735.
3. What are the Factors of 9739?
Answer: Factors of 9739 are 1, 9739. There are 2 integers that are factors of 9739. The greatest factor of 9739 is 9739.
4. How to Find the LCM of 9735 and 9739?
Answer:
Least Common Multiple of 9735 and 9739 = 94809165
Step 1: Find the prime factorization of 9735
9735 = 3 x 5 x 11 x 59
Step 2: Find the prime factorization of 9739
9739 = 9739
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 94809165 = 3 x 5 x 11 x 59 x 9739
Step 4: Therefore, the least common multiple of 9735 and 9739 is 94809165.