Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6377 and 6382 the smallest integer that is 40698014 that is divisible by both numbers.
Least Common Multiple (LCM) of 6377 and 6382 is 40698014.
LCM(6377,6382) = 40698014
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 6377 and 6382. First we will calculate the prime factors of 6377 and 6382.
Prime Factorization of 6377
7 | 6377 |
911 | 911 |
1 |
Prime factors of 6377 are 7,911. Prime factorization of 6377 in exponential form is:
6377 = 71×9111
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 6377 and 6382.
LCM(6377,6382) = 21×71×9111×31911
LCM(6377,6382) = 40698014
Factors of 6377
List of positive integer factors of 6377 that divides 6377 without a remainder.
1, 7, 911, 6377
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 6377 and 6382, than apply into the LCM equation.
GCF(6377,6382) = 1
LCM(6377,6382) = ( 6377 × 6382) / 1
LCM(6377,6382) = 40698014 / 1
LCM(6377,6382) = 40698014
(i) The LCM of 6382 and 6377 is associative
LCM of 6377 and 6382 = LCM of 6382 and 6377
1. What is the LCM of 6377 and 6382?
Answer: LCM of 6377 and 6382 is 40698014.
2. What are the Factors of 6377?
Answer: Factors of 6377 are 1, 7, 911, 6377. There are 4 integers that are factors of 6377. The greatest factor of 6377 is 6377.
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 6377 and 6382?
Answer:
Least Common Multiple of 6377 and 6382 = 40698014
Step 1: Find the prime factorization of 6377
6377 = 7 x 911
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 = 40698014 = 2 x 7 x 911 x 3191
Step 4: Therefore, the least common multiple of 6377 and 6382 is 40698014.