Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6382 and 6387 the smallest integer that is 40761834 that is divisible by both numbers.
Least Common Multiple (LCM) of 6382 and 6387 is 40761834.
LCM(6382,6387) = 40761834
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 6382 and 6387. First we will calculate the prime factors of 6382 and 6387.
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
Prime Factorization of 6387
3 | 6387 |
2129 | 2129 |
1 |
Prime factors of 6387 are 3,2129. Prime factorization of 6387 in exponential form is:
6387 = 31×21291
Now multiplying the highest exponent prime factors to calculate the LCM of 6382 and 6387.
LCM(6382,6387) = 21×31×21291×31911
LCM(6382,6387) = 40761834
Factors of 6382
List of positive integer factors of 6382 that divides 6382 without a remainder.
1, 2, 3191, 6382
Factors of 6387
List of positive integer factors of 6387 that divides 6387 without a remainder.
1, 3, 2129, 6387
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6382 and 6387, than apply into the LCM equation.
GCF(6382,6387) = 1
LCM(6382,6387) = ( 6382 × 6387) / 1
LCM(6382,6387) = 40761834 / 1
LCM(6382,6387) = 40761834
(i) The LCM of 6387 and 6382 is associative
LCM of 6382 and 6387 = LCM of 6387 and 6382
1. What is the LCM of 6382 and 6387?
Answer: LCM of 6382 and 6387 is 40761834.
2. 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.
3. What are the Factors of 6387?
Answer: Factors of 6387 are 1, 3, 2129, 6387. There are 4 integers that are factors of 6387. The greatest factor of 6387 is 6387.
4. How to Find the LCM of 6382 and 6387?
Answer:
Least Common Multiple of 6382 and 6387 = 40761834
Step 1: Find the prime factorization of 6382
6382 = 2 x 3191
Step 2: Find the prime factorization of 6387
6387 = 3 x 2129
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 40761834 = 2 x 3 x 2129 x 3191
Step 4: Therefore, the least common multiple of 6382 and 6387 is 40761834.