Least Common Multiple of 8733 and 8741
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 8741 the smallest integer that is 76335153 that is divisible by both numbers.
Least Common Multiple (LCM) of 8733 and 8741 is 76335153.
LCM(8733,8741) = 76335153
LCM of 8733 and 8741
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8733 and 8741 by Prime method
- Least Common Multiple of 8733 and 8741 with GCF Formula
LCM of 8733 and 8741 is 76335153
Least common multiple can be found by multiplying the highest exponent prime factors of 8733 and 8741. First we will calculate the prime factors of 8733 and 8741.
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 8741
| 8741 | 8741 |
| 1 |
Prime factors of 8741 are 8741. Prime factorization of 8741 in exponential form is:
8741 = 87411
Now multiplying the highest exponent prime factors to calculate the LCM of 8733 and 8741.
LCM(8733,8741) = 31×411×711×87411
LCM(8733,8741) = 76335153
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 8741
List of positive integer factors of 8741 that divides 8741 without a remainder.
1, 8741
Least Common Multiple of 8733 and 8741 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 8741, than apply into the LCM equation.
GCF(8733,8741) = 1
LCM(8733,8741) = ( 8733 × 8741) / 1
LCM(8733,8741) = 76335153 / 1
LCM(8733,8741) = 76335153
Properties of LCM 8733 and 8741
(i) The LCM of 8741 and 8733 is associative
LCM of 8733 and 8741 = LCM of 8741 and 8733
Related Least Common Multiples of 8733
Related Least Common Multiples of 8741
Frequently Asked Questions on LCM of 8733 and 8741
1. What is the LCM of 8733 and 8741?
Answer: LCM of 8733 and 8741 is 76335153.
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 8741?
Answer: Factors of 8741 are 1, 8741. There are 2 integers that are factors of 8741. The greatest factor of 8741 is 8741.
4. How to Find the LCM of 8733 and 8741?
Answer:
Least Common Multiple of 8733 and 8741 = 76335153
Step 1: Find the prime factorization of 8733
8733 = 3 x 41 x 71
Step 2: Find the prime factorization of 8741
8741 = 8741
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 76335153 = 3 x 41 x 71 x 8741
Step 4: Therefore, the least common multiple of 8733 and 8741 is 76335153.