Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6784 and 6792 the smallest integer that is 5759616 that is divisible by both numbers.
Least Common Multiple (LCM) of 6784 and 6792 is 5759616.
LCM(6784,6792) = 5759616
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 6784 and 6792. First we will calculate the prime factors of 6784 and 6792.
Prime Factorization of 6784
2 | 6784 |
2 | 3392 |
2 | 1696 |
2 | 848 |
2 | 424 |
2 | 212 |
2 | 106 |
53 | 53 |
1 |
Prime factors of 6784 are 2,53. Prime factorization of 6784 in exponential form is:
6784 = 27×531
Prime Factorization of 6792
2 | 6792 |
2 | 3396 |
2 | 1698 |
3 | 849 |
283 | 283 |
1 |
Prime factors of 6792 are 2, 3,283. Prime factorization of 6792 in exponential form is:
6792 = 23×31×2831
Now multiplying the highest exponent prime factors to calculate the LCM of 6784 and 6792.
LCM(6784,6792) = 27×31×531×2831
LCM(6784,6792) = 5759616
Factors of 6784
List of positive integer factors of 6784 that divides 6784 without a remainder.
1, 2, 4, 8, 16, 32, 53, 64, 106, 128, 212, 424, 848, 1696, 3392, 6784
Factors of 6792
List of positive integer factors of 6792 that divides 6792 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 283, 566, 849, 1132, 1698, 2264, 3396, 6792
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6784 and 6792, than apply into the LCM equation.
GCF(6784,6792) = 8
LCM(6784,6792) = ( 6784 × 6792) / 8
LCM(6784,6792) = 46076928 / 8
LCM(6784,6792) = 5759616
(i) The LCM of 6792 and 6784 is associative
LCM of 6784 and 6792 = LCM of 6792 and 6784
1. What is the LCM of 6784 and 6792?
Answer: LCM of 6784 and 6792 is 5759616.
2. What are the Factors of 6784?
Answer: Factors of 6784 are 1, 2, 4, 8, 16, 32, 53, 64, 106, 128, 212, 424, 848, 1696, 3392, 6784. There are 16 integers that are factors of 6784. The greatest factor of 6784 is 6784.
3. What are the Factors of 6792?
Answer: Factors of 6792 are 1, 2, 3, 4, 6, 8, 12, 24, 283, 566, 849, 1132, 1698, 2264, 3396, 6792. There are 16 integers that are factors of 6792. The greatest factor of 6792 is 6792.
4. How to Find the LCM of 6784 and 6792?
Answer:
Least Common Multiple of 6784 and 6792 = 5759616
Step 1: Find the prime factorization of 6784
6784 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 53
Step 2: Find the prime factorization of 6792
6792 = 2 x 2 x 2 x 3 x 283
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5759616 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 53 x 283
Step 4: Therefore, the least common multiple of 6784 and 6792 is 5759616.