Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6711 and 6718 the smallest integer that is 45084498 that is divisible by both numbers.
Least Common Multiple (LCM) of 6711 and 6718 is 45084498.
LCM(6711,6718) = 45084498
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 6711 and 6718. First we will calculate the prime factors of 6711 and 6718.
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
Prime Factorization of 6718
2 | 6718 |
3359 | 3359 |
1 |
Prime factors of 6718 are 2,3359. Prime factorization of 6718 in exponential form is:
6718 = 21×33591
Now multiplying the highest exponent prime factors to calculate the LCM of 6711 and 6718.
LCM(6711,6718) = 21×31×22371×33591
LCM(6711,6718) = 45084498
Factors of 6711
List of positive integer factors of 6711 that divides 6711 without a remainder.
1, 3, 2237, 6711
Factors of 6718
List of positive integer factors of 6718 that divides 6718 without a remainder.
1, 2, 3359, 6718
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6711 and 6718, than apply into the LCM equation.
GCF(6711,6718) = 1
LCM(6711,6718) = ( 6711 × 6718) / 1
LCM(6711,6718) = 45084498 / 1
LCM(6711,6718) = 45084498
(i) The LCM of 6718 and 6711 is associative
LCM of 6711 and 6718 = LCM of 6718 and 6711
1. What is the LCM of 6711 and 6718?
Answer: LCM of 6711 and 6718 is 45084498.
2. 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.
3. What are the Factors of 6718?
Answer: Factors of 6718 are 1, 2, 3359, 6718. There are 4 integers that are factors of 6718. The greatest factor of 6718 is 6718.
4. How to Find the LCM of 6711 and 6718?
Answer:
Least Common Multiple of 6711 and 6718 = 45084498
Step 1: Find the prime factorization of 6711
6711 = 3 x 2237
Step 2: Find the prime factorization of 6718
6718 = 2 x 3359
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 45084498 = 2 x 3 x 2237 x 3359
Step 4: Therefore, the least common multiple of 6711 and 6718 is 45084498.