Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6748 and 6754 the smallest integer that is 22787996 that is divisible by both numbers.
Least Common Multiple (LCM) of 6748 and 6754 is 22787996.
LCM(6748,6754) = 22787996
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 6748 and 6754. First we will calculate the prime factors of 6748 and 6754.
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
Prime Factorization of 6754
2 | 6754 |
11 | 3377 |
307 | 307 |
1 |
Prime factors of 6754 are 2, 11,307. Prime factorization of 6754 in exponential form is:
6754 = 21×111×3071
Now multiplying the highest exponent prime factors to calculate the LCM of 6748 and 6754.
LCM(6748,6754) = 22×71×111×2411×3071
LCM(6748,6754) = 22787996
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
Factors of 6754
List of positive integer factors of 6754 that divides 6754 without a remainder.
1, 2, 11, 22, 307, 614, 3377, 6754
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6748 and 6754, than apply into the LCM equation.
GCF(6748,6754) = 2
LCM(6748,6754) = ( 6748 × 6754) / 2
LCM(6748,6754) = 45575992 / 2
LCM(6748,6754) = 22787996
(i) The LCM of 6754 and 6748 is associative
LCM of 6748 and 6754 = LCM of 6754 and 6748
1. What is the LCM of 6748 and 6754?
Answer: LCM of 6748 and 6754 is 22787996.
2. 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.
3. What are the Factors of 6754?
Answer: Factors of 6754 are 1, 2, 11, 22, 307, 614, 3377, 6754. There are 8 integers that are factors of 6754. The greatest factor of 6754 is 6754.
4. How to Find the LCM of 6748 and 6754?
Answer:
Least Common Multiple of 6748 and 6754 = 22787996
Step 1: Find the prime factorization of 6748
6748 = 2 x 2 x 7 x 241
Step 2: Find the prime factorization of 6754
6754 = 2 x 11 x 307
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 22787996 = 2 x 2 x 7 x 11 x 241 x 307
Step 4: Therefore, the least common multiple of 6748 and 6754 is 22787996.