Least Common Multiple of 8714 and 8715
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8714 and 8715 the smallest integer that is 75942510 that is divisible by both numbers.
Least Common Multiple (LCM) of 8714 and 8715 is 75942510.
LCM(8714,8715) = 75942510
LCM of 8714 and 8715
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8714 and 8715 by Prime method
- Least Common Multiple of 8714 and 8715 with GCF Formula
LCM of 8714 and 8715 is 75942510
Least common multiple can be found by multiplying the highest exponent prime factors of 8714 and 8715. First we will calculate the prime factors of 8714 and 8715.
Prime Factorization of 8714
| 2 | 8714 |
| 4357 | 4357 |
| 1 |
Prime factors of 8714 are 2,4357. Prime factorization of 8714 in exponential form is:
8714 = 21×43571
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
Now multiplying the highest exponent prime factors to calculate the LCM of 8714 and 8715.
LCM(8714,8715) = 21×31×51×71×831×43571
LCM(8714,8715) = 75942510
Factors of 8714
List of positive integer factors of 8714 that divides 8714 without a remainder.
1, 2, 4357, 8714
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
Least Common Multiple of 8714 and 8715 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8714 and 8715, than apply into the LCM equation.
GCF(8714,8715) = 1
LCM(8714,8715) = ( 8714 × 8715) / 1
LCM(8714,8715) = 75942510 / 1
LCM(8714,8715) = 75942510
Properties of LCM 8714 and 8715
(i) The LCM of 8715 and 8714 is associative
LCM of 8714 and 8715 = LCM of 8715 and 8714
Related Least Common Multiples of 8714
Related Least Common Multiples of 8715
Frequently Asked Questions on LCM of 8714 and 8715
1. What is the LCM of 8714 and 8715?
Answer: LCM of 8714 and 8715 is 75942510.
2. What are the Factors of 8714?
Answer: Factors of 8714 are 1, 2, 4357, 8714. There are 4 integers that are factors of 8714. The greatest factor of 8714 is 8714.
3. 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.
4. How to Find the LCM of 8714 and 8715?
Answer:
Least Common Multiple of 8714 and 8715 = 75942510
Step 1: Find the prime factorization of 8714
8714 = 2 x 4357
Step 2: Find the prime factorization of 8715
8715 = 3 x 5 x 7 x 83
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 75942510 = 2 x 3 x 5 x 7 x 83 x 4357
Step 4: Therefore, the least common multiple of 8714 and 8715 is 75942510.