Least Common Multiple of 8715 and 8723
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8715 and 8723 the smallest integer that is 76020945 that is divisible by both numbers.
Least Common Multiple (LCM) of 8715 and 8723 is 76020945.
LCM(8715,8723) = 76020945
LCM of 8715 and 8723
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8715 and 8723 by Prime method
- Least Common Multiple of 8715 and 8723 with GCF Formula
LCM of 8715 and 8723 is 76020945
Least common multiple can be found by multiplying the highest exponent prime factors of 8715 and 8723. First we will calculate the prime factors of 8715 and 8723.
Prime Factorization of 8715
| 3 | 8715 |
| 5 | 2905 |
| 7 | 581 |
| 83 | 83 |
| 1 |
Prime factors of 8715 are 3, 5, 7,83. Prime factorization of 8715 in exponential form is:
8715 = 31×51×71×831
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
Now multiplying the highest exponent prime factors to calculate the LCM of 8715 and 8723.
LCM(8715,8723) = 31×51×71×111×131×611×831
LCM(8715,8723) = 76020945
Factors of 8715
List of positive integer factors of 8715 that divides 8715 without a remainder.
1, 3, 5, 7, 15, 21, 35, 83, 105, 249, 415, 581, 1245, 1743, 2905, 8715
Factors of 8723
List of positive integer factors of 8723 that divides 8723 without a remainder.
1, 11, 13, 61, 143, 671, 793, 8723
Least Common Multiple of 8715 and 8723 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8715 and 8723, than apply into the LCM equation.
GCF(8715,8723) = 1
LCM(8715,8723) = ( 8715 × 8723) / 1
LCM(8715,8723) = 76020945 / 1
LCM(8715,8723) = 76020945
Properties of LCM 8715 and 8723
(i) The LCM of 8723 and 8715 is associative
LCM of 8715 and 8723 = LCM of 8723 and 8715
Related Least Common Multiples of 8715
Related Least Common Multiples of 8723
Frequently Asked Questions on LCM of 8715 and 8723
1. What is the LCM of 8715 and 8723?
Answer: LCM of 8715 and 8723 is 76020945.
2. What are the Factors of 8715?
Answer: Factors of 8715 are 1, 3, 5, 7, 15, 21, 35, 83, 105, 249, 415, 581, 1245, 1743, 2905, 8715. There are 16 integers that are factors of 8715. The greatest factor of 8715 is 8715.
3. 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.
4. How to Find the LCM of 8715 and 8723?
Answer:
Least Common Multiple of 8715 and 8723 = 76020945
Step 1: Find the prime factorization of 8715
8715 = 3 x 5 x 7 x 83
Step 2: Find the prime factorization of 8723
8723 = 11 x 13 x 61
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 76020945 = 3 x 5 x 7 x 11 x 13 x 61 x 83
Step 4: Therefore, the least common multiple of 8715 and 8723 is 76020945.