Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6376 and 6382 the smallest integer that is 20345816 that is divisible by both numbers.
Least Common Multiple (LCM) of 6376 and 6382 is 20345816.
LCM(6376,6382) = 20345816
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 6376 and 6382. First we will calculate the prime factors of 6376 and 6382.
Prime Factorization of 6376
2 | 6376 |
2 | 3188 |
2 | 1594 |
797 | 797 |
1 |
Prime factors of 6376 are 2,797. Prime factorization of 6376 in exponential form is:
6376 = 23×7971
Prime Factorization of 6382
2 | 6382 |
3191 | 3191 |
1 |
Prime factors of 6382 are 2,3191. Prime factorization of 6382 in exponential form is:
6382 = 21×31911
Now multiplying the highest exponent prime factors to calculate the LCM of 6376 and 6382.
LCM(6376,6382) = 23×7971×31911
LCM(6376,6382) = 20345816
Factors of 6376
List of positive integer factors of 6376 that divides 6376 without a remainder.
1, 2, 4, 8, 797, 1594, 3188, 6376
Factors of 6382
List of positive integer factors of 6382 that divides 6382 without a remainder.
1, 2, 3191, 6382
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6376 and 6382, than apply into the LCM equation.
GCF(6376,6382) = 2
LCM(6376,6382) = ( 6376 × 6382) / 2
LCM(6376,6382) = 40691632 / 2
LCM(6376,6382) = 20345816
(i) The LCM of 6382 and 6376 is associative
LCM of 6376 and 6382 = LCM of 6382 and 6376
1. What is the LCM of 6376 and 6382?
Answer: LCM of 6376 and 6382 is 20345816.
2. What are the Factors of 6376?
Answer: Factors of 6376 are 1, 2, 4, 8, 797, 1594, 3188, 6376. There are 8 integers that are factors of 6376. The greatest factor of 6376 is 6376.
3. What are the Factors of 6382?
Answer: Factors of 6382 are 1, 2, 3191, 6382. There are 4 integers that are factors of 6382. The greatest factor of 6382 is 6382.
4. How to Find the LCM of 6376 and 6382?
Answer:
Least Common Multiple of 6376 and 6382 = 20345816
Step 1: Find the prime factorization of 6376
6376 = 2 x 2 x 2 x 797
Step 2: Find the prime factorization of 6382
6382 = 2 x 3191
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 20345816 = 2 x 2 x 2 x 797 x 3191
Step 4: Therefore, the least common multiple of 6376 and 6382 is 20345816.