Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6740 and 6748 the smallest integer that is 11370380 that is divisible by both numbers.
Least Common Multiple (LCM) of 6740 and 6748 is 11370380.
LCM(6740,6748) = 11370380
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 6740 and 6748. First we will calculate the prime factors of 6740 and 6748.
Prime Factorization of 6740
2 | 6740 |
2 | 3370 |
5 | 1685 |
337 | 337 |
1 |
Prime factors of 6740 are 2, 5,337. Prime factorization of 6740 in exponential form is:
6740 = 22×51×3371
Prime Factorization of 6748
2 | 6748 |
2 | 3374 |
7 | 1687 |
241 | 241 |
1 |
Prime factors of 6748 are 2, 7,241. Prime factorization of 6748 in exponential form is:
6748 = 22×71×2411
Now multiplying the highest exponent prime factors to calculate the LCM of 6740 and 6748.
LCM(6740,6748) = 22×51×71×2411×3371
LCM(6740,6748) = 11370380
Factors of 6740
List of positive integer factors of 6740 that divides 6740 without a remainder.
1, 2, 4, 5, 10, 20, 337, 674, 1348, 1685, 3370, 6740
Factors of 6748
List of positive integer factors of 6748 that divides 6748 without a remainder.
1, 2, 4, 7, 14, 28, 241, 482, 964, 1687, 3374, 6748
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6740 and 6748, than apply into the LCM equation.
GCF(6740,6748) = 4
LCM(6740,6748) = ( 6740 × 6748) / 4
LCM(6740,6748) = 45481520 / 4
LCM(6740,6748) = 11370380
(i) The LCM of 6748 and 6740 is associative
LCM of 6740 and 6748 = LCM of 6748 and 6740
1. What is the LCM of 6740 and 6748?
Answer: LCM of 6740 and 6748 is 11370380.
2. What are the Factors of 6740?
Answer: Factors of 6740 are 1, 2, 4, 5, 10, 20, 337, 674, 1348, 1685, 3370, 6740. There are 12 integers that are factors of 6740. The greatest factor of 6740 is 6740.
3. What are the Factors of 6748?
Answer: Factors of 6748 are 1, 2, 4, 7, 14, 28, 241, 482, 964, 1687, 3374, 6748. There are 12 integers that are factors of 6748. The greatest factor of 6748 is 6748.
4. How to Find the LCM of 6740 and 6748?
Answer:
Least Common Multiple of 6740 and 6748 = 11370380
Step 1: Find the prime factorization of 6740
6740 = 2 x 2 x 5 x 337
Step 2: Find the prime factorization of 6748
6748 = 2 x 2 x 7 x 241
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 11370380 = 2 x 2 x 5 x 7 x 241 x 337
Step 4: Therefore, the least common multiple of 6740 and 6748 is 11370380.