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 6394 the smallest integer that is 20416042 that is divisible by both numbers.
Least Common Multiple (LCM) of 6386 and 6394 is 20416042.
LCM(6386,6394) = 20416042
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 6394. First we will calculate the prime factors of 6386 and 6394.
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 6394
2 | 6394 |
23 | 3197 |
139 | 139 |
1 |
Prime factors of 6394 are 2, 23,139. Prime factorization of 6394 in exponential form is:
6394 = 21×231×1391
Now multiplying the highest exponent prime factors to calculate the LCM of 6386 and 6394.
LCM(6386,6394) = 21×231×311×1031×1391
LCM(6386,6394) = 20416042
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 6394
List of positive integer factors of 6394 that divides 6394 without a remainder.
1, 2, 23, 46, 139, 278, 3197, 6394
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6386 and 6394, than apply into the LCM equation.
GCF(6386,6394) = 2
LCM(6386,6394) = ( 6386 × 6394) / 2
LCM(6386,6394) = 40832084 / 2
LCM(6386,6394) = 20416042
(i) The LCM of 6394 and 6386 is associative
LCM of 6386 and 6394 = LCM of 6394 and 6386
1. What is the LCM of 6386 and 6394?
Answer: LCM of 6386 and 6394 is 20416042.
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 6394?
Answer: Factors of 6394 are 1, 2, 23, 46, 139, 278, 3197, 6394. There are 8 integers that are factors of 6394. The greatest factor of 6394 is 6394.
4. How to Find the LCM of 6386 and 6394?
Answer:
Least Common Multiple of 6386 and 6394 = 20416042
Step 1: Find the prime factorization of 6386
6386 = 2 x 31 x 103
Step 2: Find the prime factorization of 6394
6394 = 2 x 23 x 139
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 20416042 = 2 x 23 x 31 x 103 x 139
Step 4: Therefore, the least common multiple of 6386 and 6394 is 20416042.