Least Common Multiple of 6380 and 6387
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6380 and 6387 the smallest integer that is 40749060 that is divisible by both numbers.
Least Common Multiple (LCM) of 6380 and 6387 is 40749060.
LCM(6380,6387) = 40749060
LCM of 6380 and 6387
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6380 and 6387 by Prime method
- Least Common Multiple of 6380 and 6387 with GCF Formula
LCM of 6380 and 6387 is 40749060
Least common multiple can be found by multiplying the highest exponent prime factors of 6380 and 6387. First we will calculate the prime factors of 6380 and 6387.
Prime Factorization of 6380
| 2 | 6380 |
| 2 | 3190 |
| 5 | 1595 |
| 11 | 319 |
| 29 | 29 |
| 1 |
Prime factors of 6380 are 2, 5, 11,29. Prime factorization of 6380 in exponential form is:
6380 = 22×51×111×291
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 6380 and 6387.
LCM(6380,6387) = 22×31×51×111×291×21291
LCM(6380,6387) = 40749060
Factors of 6380
List of positive integer factors of 6380 that divides 6380 without a remainder.
1, 2, 4, 5, 10, 11, 20, 22, 29, 44, 55, 58, 110, 116, 145, 220, 290, 319, 580, 638, 1276, 1595, 3190, 6380
Factors of 6387
List of positive integer factors of 6387 that divides 6387 without a remainder.
1, 3, 2129, 6387
Least Common Multiple of 6380 and 6387 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6380 and 6387, than apply into the LCM equation.
GCF(6380,6387) = 1
LCM(6380,6387) = ( 6380 × 6387) / 1
LCM(6380,6387) = 40749060 / 1
LCM(6380,6387) = 40749060
Properties of LCM 6380 and 6387
(i) The LCM of 6387 and 6380 is associative
LCM of 6380 and 6387 = LCM of 6387 and 6380
Related Least Common Multiples of 6380
Related Least Common Multiples of 6387
Frequently Asked Questions on LCM of 6380 and 6387
1. What is the LCM of 6380 and 6387?
Answer: LCM of 6380 and 6387 is 40749060.
2. What are the Factors of 6380?
Answer: Factors of 6380 are 1, 2, 4, 5, 10, 11, 20, 22, 29, 44, 55, 58, 110, 116, 145, 220, 290, 319, 580, 638, 1276, 1595, 3190, 6380. There are 24 integers that are factors of 6380. The greatest factor of 6380 is 6380.
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 6380 and 6387?
Answer:
Least Common Multiple of 6380 and 6387 = 40749060
Step 1: Find the prime factorization of 6380
6380 = 2 x 2 x 5 x 11 x 29
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 = 40749060 = 2 x 2 x 3 x 5 x 11 x 29 x 2129
Step 4: Therefore, the least common multiple of 6380 and 6387 is 40749060.