Least Common Multiple of 9731 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 9731 and 9737 the smallest integer that is 94750747 that is divisible by both numbers.
Least Common Multiple (LCM) of 9731 and 9737 is 94750747.
LCM(9731,9737) = 94750747
LCM of 9731 and 9737
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9731 and 9737 by Prime method
- Least Common Multiple of 9731 and 9737 with GCF Formula
LCM of 9731 and 9737 is 94750747
Least common multiple can be found by multiplying the highest exponent prime factors of 9731 and 9737. First we will calculate the prime factors of 9731 and 9737.
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 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 9731 and 9737.
LCM(9731,9737) = 71×131×371×1071×2631
LCM(9731,9737) = 94750747
Factors of 9731
List of positive integer factors of 9731 that divides 9731 without a remainder.
1, 37, 263, 9731
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 9731 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 9731 and 9737, than apply into the LCM equation.
GCF(9731,9737) = 1
LCM(9731,9737) = ( 9731 × 9737) / 1
LCM(9731,9737) = 94750747 / 1
LCM(9731,9737) = 94750747
Properties of LCM 9731 and 9737
(i) The LCM of 9737 and 9731 is associative
LCM of 9731 and 9737 = LCM of 9737 and 9731
Related Least Common Multiples of 9731
Related Least Common Multiples of 9737
Frequently Asked Questions on LCM of 9731 and 9737
1. What is the LCM of 9731 and 9737?
Answer: LCM of 9731 and 9737 is 94750747.
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 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 9731 and 9737?
Answer:
Least Common Multiple of 9731 and 9737 = 94750747
Step 1: Find the prime factorization of 9731
9731 = 37 x 263
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 = 94750747 = 7 x 13 x 37 x 107 x 263
Step 4: Therefore, the least common multiple of 9731 and 9737 is 94750747.