Least Common Multiple of 6707 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 6707 and 6715 the smallest integer that is 45037505 that is divisible by both numbers.
Least Common Multiple (LCM) of 6707 and 6715 is 45037505.
LCM(6707,6715) = 45037505
LCM of 6707 and 6715
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6707 and 6715 by Prime method
- Least Common Multiple of 6707 and 6715 with GCF Formula
LCM of 6707 and 6715 is 45037505
Least common multiple can be found by multiplying the highest exponent prime factors of 6707 and 6715. First we will calculate the prime factors of 6707 and 6715.
Prime Factorization of 6707
| 19 | 6707 |
| 353 | 353 |
| 1 |
Prime factors of 6707 are 19,353. Prime factorization of 6707 in exponential form is:
6707 = 191×3531
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 6707 and 6715.
LCM(6707,6715) = 51×171×191×791×3531
LCM(6707,6715) = 45037505
Factors of 6707
List of positive integer factors of 6707 that divides 6707 without a remainder.
1, 19, 353, 6707
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 6707 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 6707 and 6715, than apply into the LCM equation.
GCF(6707,6715) = 1
LCM(6707,6715) = ( 6707 × 6715) / 1
LCM(6707,6715) = 45037505 / 1
LCM(6707,6715) = 45037505
Properties of LCM 6707 and 6715
(i) The LCM of 6715 and 6707 is associative
LCM of 6707 and 6715 = LCM of 6715 and 6707
Related Least Common Multiples of 6707
Related Least Common Multiples of 6715
Frequently Asked Questions on LCM of 6707 and 6715
1. What is the LCM of 6707 and 6715?
Answer: LCM of 6707 and 6715 is 45037505.
2. What are the Factors of 6707?
Answer: Factors of 6707 are 1, 19, 353, 6707. There are 4 integers that are factors of 6707. The greatest factor of 6707 is 6707.
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 6707 and 6715?
Answer:
Least Common Multiple of 6707 and 6715 = 45037505
Step 1: Find the prime factorization of 6707
6707 = 19 x 353
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 = 45037505 = 5 x 17 x 19 x 79 x 353
Step 4: Therefore, the least common multiple of 6707 and 6715 is 45037505.