Least Common Multiple of 6707 and 6711
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 6711 the smallest integer that is 45010677 that is divisible by both numbers.
Least Common Multiple (LCM) of 6707 and 6711 is 45010677.
LCM(6707,6711) = 45010677
LCM of 6707 and 6711
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6707 and 6711 by Prime method
- Least Common Multiple of 6707 and 6711 with GCF Formula
LCM of 6707 and 6711 is 45010677
Least common multiple can be found by multiplying the highest exponent prime factors of 6707 and 6711. First we will calculate the prime factors of 6707 and 6711.
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 6711
| 3 | 6711 |
| 2237 | 2237 |
| 1 |
Prime factors of 6711 are 3,2237. Prime factorization of 6711 in exponential form is:
6711 = 31×22371
Now multiplying the highest exponent prime factors to calculate the LCM of 6707 and 6711.
LCM(6707,6711) = 31×191×3531×22371
LCM(6707,6711) = 45010677
Factors of 6707
List of positive integer factors of 6707 that divides 6707 without a remainder.
1, 19, 353, 6707
Factors of 6711
List of positive integer factors of 6711 that divides 6711 without a remainder.
1, 3, 2237, 6711
Least Common Multiple of 6707 and 6711 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 6711, than apply into the LCM equation.
GCF(6707,6711) = 1
LCM(6707,6711) = ( 6707 × 6711) / 1
LCM(6707,6711) = 45010677 / 1
LCM(6707,6711) = 45010677
Properties of LCM 6707 and 6711
(i) The LCM of 6711 and 6707 is associative
LCM of 6707 and 6711 = LCM of 6711 and 6707
Related Least Common Multiples of 6707
Related Least Common Multiples of 6711
Frequently Asked Questions on LCM of 6707 and 6711
1. What is the LCM of 6707 and 6711?
Answer: LCM of 6707 and 6711 is 45010677.
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 6711?
Answer: Factors of 6711 are 1, 3, 2237, 6711. There are 4 integers that are factors of 6711. The greatest factor of 6711 is 6711.
4. How to Find the LCM of 6707 and 6711?
Answer:
Least Common Multiple of 6707 and 6711 = 45010677
Step 1: Find the prime factorization of 6707
6707 = 19 x 353
Step 2: Find the prime factorization of 6711
6711 = 3 x 2237
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 45010677 = 3 x 19 x 353 x 2237
Step 4: Therefore, the least common multiple of 6707 and 6711 is 45010677.