Least Common Multiple of 8738 and 8743
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8738 and 8743 the smallest integer that is 76396334 that is divisible by both numbers.
Least Common Multiple (LCM) of 8738 and 8743 is 76396334.
LCM(8738,8743) = 76396334
LCM of 8738 and 8743
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8738 and 8743 by Prime method
- Least Common Multiple of 8738 and 8743 with GCF Formula
LCM of 8738 and 8743 is 76396334
Least common multiple can be found by multiplying the highest exponent prime factors of 8738 and 8743. First we will calculate the prime factors of 8738 and 8743.
Prime Factorization of 8738
| 2 | 8738 |
| 17 | 4369 |
| 257 | 257 |
| 1 |
Prime factors of 8738 are 2, 17,257. Prime factorization of 8738 in exponential form is:
8738 = 21×171×2571
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
Now multiplying the highest exponent prime factors to calculate the LCM of 8738 and 8743.
LCM(8738,8743) = 21×71×171×2571×12491
LCM(8738,8743) = 76396334
Factors of 8738
List of positive integer factors of 8738 that divides 8738 without a remainder.
1, 2, 17, 34, 257, 514, 4369, 8738
Factors of 8743
List of positive integer factors of 8743 that divides 8743 without a remainder.
1, 7, 1249, 8743
Least Common Multiple of 8738 and 8743 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8738 and 8743, than apply into the LCM equation.
GCF(8738,8743) = 1
LCM(8738,8743) = ( 8738 × 8743) / 1
LCM(8738,8743) = 76396334 / 1
LCM(8738,8743) = 76396334
Properties of LCM 8738 and 8743
(i) The LCM of 8743 and 8738 is associative
LCM of 8738 and 8743 = LCM of 8743 and 8738
Related Least Common Multiples of 8738
Related Least Common Multiples of 8743
Frequently Asked Questions on LCM of 8738 and 8743
1. What is the LCM of 8738 and 8743?
Answer: LCM of 8738 and 8743 is 76396334.
2. What are the Factors of 8738?
Answer: Factors of 8738 are 1, 2, 17, 34, 257, 514, 4369, 8738. There are 8 integers that are factors of 8738. The greatest factor of 8738 is 8738.
3. 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.
4. How to Find the LCM of 8738 and 8743?
Answer:
Least Common Multiple of 8738 and 8743 = 76396334
Step 1: Find the prime factorization of 8738
8738 = 2 x 17 x 257
Step 2: Find the prime factorization of 8743
8743 = 7 x 1249
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 76396334 = 2 x 7 x 17 x 257 x 1249
Step 4: Therefore, the least common multiple of 8738 and 8743 is 76396334.