Least Common Multiple of 8723 and 8727
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8723 and 8727 the smallest integer that is 76125621 that is divisible by both numbers.
Least Common Multiple (LCM) of 8723 and 8727 is 76125621.
LCM(8723,8727) = 76125621
LCM of 8723 and 8727
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8723 and 8727 by Prime method
- Least Common Multiple of 8723 and 8727 with GCF Formula
LCM of 8723 and 8727 is 76125621
Least common multiple can be found by multiplying the highest exponent prime factors of 8723 and 8727. First we will calculate the prime factors of 8723 and 8727.
Prime Factorization of 8723
| 11 | 8723 |
| 13 | 793 |
| 61 | 61 |
| 1 |
Prime factors of 8723 are 11, 13,61. Prime factorization of 8723 in exponential form is:
8723 = 111×131×611
Prime Factorization of 8727
| 3 | 8727 |
| 2909 | 2909 |
| 1 |
Prime factors of 8727 are 3,2909. Prime factorization of 8727 in exponential form is:
8727 = 31×29091
Now multiplying the highest exponent prime factors to calculate the LCM of 8723 and 8727.
LCM(8723,8727) = 31×111×131×611×29091
LCM(8723,8727) = 76125621
Factors of 8723
List of positive integer factors of 8723 that divides 8723 without a remainder.
1, 11, 13, 61, 143, 671, 793, 8723
Factors of 8727
List of positive integer factors of 8727 that divides 8727 without a remainder.
1, 3, 2909, 8727
Least Common Multiple of 8723 and 8727 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8723 and 8727, than apply into the LCM equation.
GCF(8723,8727) = 1
LCM(8723,8727) = ( 8723 × 8727) / 1
LCM(8723,8727) = 76125621 / 1
LCM(8723,8727) = 76125621
Properties of LCM 8723 and 8727
(i) The LCM of 8727 and 8723 is associative
LCM of 8723 and 8727 = LCM of 8727 and 8723
Related Least Common Multiples of 8723
Related Least Common Multiples of 8727
Frequently Asked Questions on LCM of 8723 and 8727
1. What is the LCM of 8723 and 8727?
Answer: LCM of 8723 and 8727 is 76125621.
2. What are the Factors of 8723?
Answer: Factors of 8723 are 1, 11, 13, 61, 143, 671, 793, 8723. There are 8 integers that are factors of 8723. The greatest factor of 8723 is 8723.
3. What are the Factors of 8727?
Answer: Factors of 8727 are 1, 3, 2909, 8727. There are 4 integers that are factors of 8727. The greatest factor of 8727 is 8727.
4. How to Find the LCM of 8723 and 8727?
Answer:
Least Common Multiple of 8723 and 8727 = 76125621
Step 1: Find the prime factorization of 8723
8723 = 11 x 13 x 61
Step 2: Find the prime factorization of 8727
8727 = 3 x 2909
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 76125621 = 3 x 11 x 13 x 61 x 2909
Step 4: Therefore, the least common multiple of 8723 and 8727 is 76125621.