Least Common Multiple of 8733 and 8737
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8733 and 8737 the smallest integer that is 76300221 that is divisible by both numbers.
Least Common Multiple (LCM) of 8733 and 8737 is 76300221.
LCM(8733,8737) = 76300221
LCM of 8733 and 8737
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8733 and 8737 by Prime method
- Least Common Multiple of 8733 and 8737 with GCF Formula
LCM of 8733 and 8737 is 76300221
Least common multiple can be found by multiplying the highest exponent prime factors of 8733 and 8737. First we will calculate the prime factors of 8733 and 8737.
Prime Factorization of 8733
| 3 | 8733 |
| 41 | 2911 |
| 71 | 71 |
| 1 |
Prime factors of 8733 are 3, 41,71. Prime factorization of 8733 in exponential form is:
8733 = 31×411×711
Prime Factorization of 8737
| 8737 | 8737 |
| 1 |
Prime factors of 8737 are 8737. Prime factorization of 8737 in exponential form is:
8737 = 87371
Now multiplying the highest exponent prime factors to calculate the LCM of 8733 and 8737.
LCM(8733,8737) = 31×411×711×87371
LCM(8733,8737) = 76300221
Factors of 8733
List of positive integer factors of 8733 that divides 8733 without a remainder.
1, 3, 41, 71, 123, 213, 2911, 8733
Factors of 8737
List of positive integer factors of 8737 that divides 8737 without a remainder.
1, 8737
Least Common Multiple of 8733 and 8737 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8733 and 8737, than apply into the LCM equation.
GCF(8733,8737) = 1
LCM(8733,8737) = ( 8733 × 8737) / 1
LCM(8733,8737) = 76300221 / 1
LCM(8733,8737) = 76300221
Properties of LCM 8733 and 8737
(i) The LCM of 8737 and 8733 is associative
LCM of 8733 and 8737 = LCM of 8737 and 8733
Related Least Common Multiples of 8733
Related Least Common Multiples of 8737
Frequently Asked Questions on LCM of 8733 and 8737
1. What is the LCM of 8733 and 8737?
Answer: LCM of 8733 and 8737 is 76300221.
2. What are the Factors of 8733?
Answer: Factors of 8733 are 1, 3, 41, 71, 123, 213, 2911, 8733. There are 8 integers that are factors of 8733. The greatest factor of 8733 is 8733.
3. What are the Factors of 8737?
Answer: Factors of 8737 are 1, 8737. There are 2 integers that are factors of 8737. The greatest factor of 8737 is 8737.
4. How to Find the LCM of 8733 and 8737?
Answer:
Least Common Multiple of 8733 and 8737 = 76300221
Step 1: Find the prime factorization of 8733
8733 = 3 x 41 x 71
Step 2: Find the prime factorization of 8737
8737 = 8737
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 76300221 = 3 x 41 x 71 x 8737
Step 4: Therefore, the least common multiple of 8733 and 8737 is 76300221.