Least Common Multiple of 6710 and 6715
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6710 and 6715 the smallest integer that is 9011530 that is divisible by both numbers.
Least Common Multiple (LCM) of 6710 and 6715 is 9011530.
LCM(6710,6715) = 9011530
LCM of 6710 and 6715
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6710 and 6715 by Prime method
- Least Common Multiple of 6710 and 6715 with GCF Formula
LCM of 6710 and 6715 is 9011530
Least common multiple can be found by multiplying the highest exponent prime factors of 6710 and 6715. First we will calculate the prime factors of 6710 and 6715.
Prime Factorization of 6710
| 2 | 6710 |
| 5 | 3355 |
| 11 | 671 |
| 61 | 61 |
| 1 |
Prime factors of 6710 are 2, 5, 11,61. Prime factorization of 6710 in exponential form is:
6710 = 21×51×111×611
Prime Factorization of 6715
| 5 | 6715 |
| 17 | 1343 |
| 79 | 79 |
| 1 |
Prime factors of 6715 are 5, 17,79. Prime factorization of 6715 in exponential form is:
6715 = 51×171×791
Now multiplying the highest exponent prime factors to calculate the LCM of 6710 and 6715.
LCM(6710,6715) = 21×51×111×171×611×791
LCM(6710,6715) = 9011530
Factors of 6710
List of positive integer factors of 6710 that divides 6710 without a remainder.
1, 2, 5, 10, 11, 22, 55, 61, 110, 122, 305, 610, 671, 1342, 3355, 6710
Factors of 6715
List of positive integer factors of 6715 that divides 6715 without a remainder.
1, 5, 17, 79, 85, 395, 1343, 6715
Least Common Multiple of 6710 and 6715 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6710 and 6715, than apply into the LCM equation.
GCF(6710,6715) = 5
LCM(6710,6715) = ( 6710 × 6715) / 5
LCM(6710,6715) = 45057650 / 5
LCM(6710,6715) = 9011530
Properties of LCM 6710 and 6715
(i) The LCM of 6715 and 6710 is associative
LCM of 6710 and 6715 = LCM of 6715 and 6710
Related Least Common Multiples of 6710
Related Least Common Multiples of 6715
Frequently Asked Questions on LCM of 6710 and 6715
1. What is the LCM of 6710 and 6715?
Answer: LCM of 6710 and 6715 is 9011530.
2. What are the Factors of 6710?
Answer: Factors of 6710 are 1, 2, 5, 10, 11, 22, 55, 61, 110, 122, 305, 610, 671, 1342, 3355, 6710. There are 16 integers that are factors of 6710. The greatest factor of 6710 is 6710.
3. What are the Factors of 6715?
Answer: Factors of 6715 are 1, 5, 17, 79, 85, 395, 1343, 6715. There are 8 integers that are factors of 6715. The greatest factor of 6715 is 6715.
4. How to Find the LCM of 6710 and 6715?
Answer:
Least Common Multiple of 6710 and 6715 = 9011530
Step 1: Find the prime factorization of 6710
6710 = 2 x 5 x 11 x 61
Step 2: Find the prime factorization of 6715
6715 = 5 x 17 x 79
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9011530 = 2 x 5 x 11 x 17 x 61 x 79
Step 4: Therefore, the least common multiple of 6710 and 6715 is 9011530.
