Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6386 and 6392 the smallest integer that is 20409656 that is divisible by both numbers.
Least Common Multiple (LCM) of 6386 and 6392 is 20409656.
LCM(6386,6392) = 20409656
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 6386 and 6392. First we will calculate the prime factors of 6386 and 6392.
Prime Factorization of 6386
2 | 6386 |
31 | 3193 |
103 | 103 |
1 |
Prime factors of 6386 are 2, 31,103. Prime factorization of 6386 in exponential form is:
6386 = 21×311×1031
Prime Factorization of 6392
2 | 6392 |
2 | 3196 |
2 | 1598 |
17 | 799 |
47 | 47 |
1 |
Prime factors of 6392 are 2, 17,47. Prime factorization of 6392 in exponential form is:
6392 = 23×171×471
Now multiplying the highest exponent prime factors to calculate the LCM of 6386 and 6392.
LCM(6386,6392) = 23×171×311×471×1031
LCM(6386,6392) = 20409656
Factors of 6386
List of positive integer factors of 6386 that divides 6386 without a remainder.
1, 2, 31, 62, 103, 206, 3193, 6386
Factors of 6392
List of positive integer factors of 6392 that divides 6392 without a remainder.
1, 2, 4, 8, 17, 34, 47, 68, 94, 136, 188, 376, 799, 1598, 3196, 6392
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6386 and 6392, than apply into the LCM equation.
GCF(6386,6392) = 2
LCM(6386,6392) = ( 6386 × 6392) / 2
LCM(6386,6392) = 40819312 / 2
LCM(6386,6392) = 20409656
(i) The LCM of 6392 and 6386 is associative
LCM of 6386 and 6392 = LCM of 6392 and 6386
1. What is the LCM of 6386 and 6392?
Answer: LCM of 6386 and 6392 is 20409656.
2. What are the Factors of 6386?
Answer: Factors of 6386 are 1, 2, 31, 62, 103, 206, 3193, 6386. There are 8 integers that are factors of 6386. The greatest factor of 6386 is 6386.
3. What are the Factors of 6392?
Answer: Factors of 6392 are 1, 2, 4, 8, 17, 34, 47, 68, 94, 136, 188, 376, 799, 1598, 3196, 6392. There are 16 integers that are factors of 6392. The greatest factor of 6392 is 6392.
4. How to Find the LCM of 6386 and 6392?
Answer:
Least Common Multiple of 6386 and 6392 = 20409656
Step 1: Find the prime factorization of 6386
6386 = 2 x 31 x 103
Step 2: Find the prime factorization of 6392
6392 = 2 x 2 x 2 x 17 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 20409656 = 2 x 2 x 2 x 17 x 31 x 47 x 103
Step 4: Therefore, the least common multiple of 6386 and 6392 is 20409656.