Least Common Multiple of 6377 and 6381
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 6381 the smallest integer that is 40691637 that is divisible by both numbers.
Least Common Multiple (LCM) of 6377 and 6381 is 40691637.
LCM(6377,6381) = 40691637
LCM of 6377 and 6381
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6377 and 6381 by Prime method
- Least Common Multiple of 6377 and 6381 with GCF Formula
LCM of 6377 and 6381 is 40691637
Least common multiple can be found by multiplying the highest exponent prime factors of 6377 and 6381. First we will calculate the prime factors of 6377 and 6381.
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 6381
| 3 | 6381 |
| 3 | 2127 |
| 709 | 709 |
| 1 |
Prime factors of 6381 are 3,709. Prime factorization of 6381 in exponential form is:
6381 = 32×7091
Now multiplying the highest exponent prime factors to calculate the LCM of 6377 and 6381.
LCM(6377,6381) = 32×71×7091×9111
LCM(6377,6381) = 40691637
Factors of 6377
List of positive integer factors of 6377 that divides 6377 without a remainder.
1, 7, 911, 6377
Factors of 6381
List of positive integer factors of 6381 that divides 6381 without a remainder.
1, 3, 9, 709, 2127, 6381
Least Common Multiple of 6377 and 6381 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6377 and 6381, than apply into the LCM equation.
GCF(6377,6381) = 1
LCM(6377,6381) = ( 6377 × 6381) / 1
LCM(6377,6381) = 40691637 / 1
LCM(6377,6381) = 40691637
Properties of LCM 6377 and 6381
(i) The LCM of 6381 and 6377 is associative
LCM of 6377 and 6381 = LCM of 6381 and 6377
Related Least Common Multiples of 6377
Related Least Common Multiples of 6381
Frequently Asked Questions on LCM of 6377 and 6381
1. What is the LCM of 6377 and 6381?
Answer: LCM of 6377 and 6381 is 40691637.
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 6381?
Answer: Factors of 6381 are 1, 3, 9, 709, 2127, 6381. There are 6 integers that are factors of 6381. The greatest factor of 6381 is 6381.
4. How to Find the LCM of 6377 and 6381?
Answer:
Least Common Multiple of 6377 and 6381 = 40691637
Step 1: Find the prime factorization of 6377
6377 = 7 x 911
Step 2: Find the prime factorization of 6381
6381 = 3 x 3 x 709
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 40691637 = 3 x 3 x 7 x 709 x 911
Step 4: Therefore, the least common multiple of 6377 and 6381 is 40691637.