Least Common Multiple of 8743 and 8745
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8743 and 8745 the smallest integer that is 76457535 that is divisible by both numbers.
Least Common Multiple (LCM) of 8743 and 8745 is 76457535.
LCM(8743,8745) = 76457535
LCM of 8743 and 8745
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8743 and 8745 by Prime method
- Least Common Multiple of 8743 and 8745 with GCF Formula
LCM of 8743 and 8745 is 76457535
Least common multiple can be found by multiplying the highest exponent prime factors of 8743 and 8745. First we will calculate the prime factors of 8743 and 8745.
Prime Factorization of 8743
| 7 | 8743 |
| 1249 | 1249 |
| 1 |
Prime factors of 8743 are 7,1249. Prime factorization of 8743 in exponential form is:
8743 = 71×12491
Prime Factorization of 8745
| 3 | 8745 |
| 5 | 2915 |
| 11 | 583 |
| 53 | 53 |
| 1 |
Prime factors of 8745 are 3, 5, 11,53. Prime factorization of 8745 in exponential form is:
8745 = 31×51×111×531
Now multiplying the highest exponent prime factors to calculate the LCM of 8743 and 8745.
LCM(8743,8745) = 31×51×71×111×531×12491
LCM(8743,8745) = 76457535
Factors of 8743
List of positive integer factors of 8743 that divides 8743 without a remainder.
1, 7, 1249, 8743
Factors of 8745
List of positive integer factors of 8745 that divides 8745 without a remainder.
1, 3, 5, 11, 15, 33, 53, 55, 159, 165, 265, 583, 795, 1749, 2915, 8745
Least Common Multiple of 8743 and 8745 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8743 and 8745, than apply into the LCM equation.
GCF(8743,8745) = 1
LCM(8743,8745) = ( 8743 × 8745) / 1
LCM(8743,8745) = 76457535 / 1
LCM(8743,8745) = 76457535
Properties of LCM 8743 and 8745
(i) The LCM of 8745 and 8743 is associative
LCM of 8743 and 8745 = LCM of 8745 and 8743
Related Least Common Multiples of 8743
Related Least Common Multiples of 8745
Frequently Asked Questions on LCM of 8743 and 8745
1. What is the LCM of 8743 and 8745?
Answer: LCM of 8743 and 8745 is 76457535.
2. What are the Factors of 8743?
Answer: Factors of 8743 are 1, 7, 1249, 8743. There are 4 integers that are factors of 8743. The greatest factor of 8743 is 8743.
3. What are the Factors of 8745?
Answer: Factors of 8745 are 1, 3, 5, 11, 15, 33, 53, 55, 159, 165, 265, 583, 795, 1749, 2915, 8745. There are 16 integers that are factors of 8745. The greatest factor of 8745 is 8745.
4. How to Find the LCM of 8743 and 8745?
Answer:
Least Common Multiple of 8743 and 8745 = 76457535
Step 1: Find the prime factorization of 8743
8743 = 7 x 1249
Step 2: Find the prime factorization of 8745
8745 = 3 x 5 x 11 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 76457535 = 3 x 5 x 7 x 11 x 53 x 1249
Step 4: Therefore, the least common multiple of 8743 and 8745 is 76457535.
