Least Common Multiple of 9731 and 9735
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9731 and 9735 the smallest integer that is 94731285 that is divisible by both numbers.
Least Common Multiple (LCM) of 9731 and 9735 is 94731285.
LCM(9731,9735) = 94731285
LCM of 9731 and 9735
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9731 and 9735 by Prime method
- Least Common Multiple of 9731 and 9735 with GCF Formula
LCM of 9731 and 9735 is 94731285
Least common multiple can be found by multiplying the highest exponent prime factors of 9731 and 9735. First we will calculate the prime factors of 9731 and 9735.
Prime Factorization of 9731
| 37 | 9731 |
| 263 | 263 |
| 1 |
Prime factors of 9731 are 37,263. Prime factorization of 9731 in exponential form is:
9731 = 371×2631
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
Now multiplying the highest exponent prime factors to calculate the LCM of 9731 and 9735.
LCM(9731,9735) = 31×51×111×371×591×2631
LCM(9731,9735) = 94731285
Factors of 9731
List of positive integer factors of 9731 that divides 9731 without a remainder.
1, 37, 263, 9731
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
Least Common Multiple of 9731 and 9735 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9731 and 9735, than apply into the LCM equation.
GCF(9731,9735) = 1
LCM(9731,9735) = ( 9731 × 9735) / 1
LCM(9731,9735) = 94731285 / 1
LCM(9731,9735) = 94731285
Properties of LCM 9731 and 9735
(i) The LCM of 9735 and 9731 is associative
LCM of 9731 and 9735 = LCM of 9735 and 9731
Related Least Common Multiples of 9731
Related Least Common Multiples of 9735
Frequently Asked Questions on LCM of 9731 and 9735
1. What is the LCM of 9731 and 9735?
Answer: LCM of 9731 and 9735 is 94731285.
2. What are the Factors of 9731?
Answer: Factors of 9731 are 1, 37, 263, 9731. There are 4 integers that are factors of 9731. The greatest factor of 9731 is 9731.
3. 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.
4. How to Find the LCM of 9731 and 9735?
Answer:
Least Common Multiple of 9731 and 9735 = 94731285
Step 1: Find the prime factorization of 9731
9731 = 37 x 263
Step 2: Find the prime factorization of 9735
9735 = 3 x 5 x 11 x 59
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 94731285 = 3 x 5 x 11 x 37 x 59 x 263
Step 4: Therefore, the least common multiple of 9731 and 9735 is 94731285.