Least Common Multiple of 5377 and 5382
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5377 and 5382 the smallest integer that is 28939014 that is divisible by both numbers.
Least Common Multiple (LCM) of 5377 and 5382 is 28939014.
LCM(5377,5382) = 28939014
LCM of 5377 and 5382
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5377 and 5382 by Prime method
- Least Common Multiple of 5377 and 5382 with GCF Formula
LCM of 5377 and 5382 is 28939014
Least common multiple can be found by multiplying the highest exponent prime factors of 5377 and 5382. First we will calculate the prime factors of 5377 and 5382.
Prime Factorization of 5377
| 19 | 5377 |
| 283 | 283 |
| 1 |
Prime factors of 5377 are 19,283. Prime factorization of 5377 in exponential form is:
5377 = 191×2831
Prime Factorization of 5382
| 2 | 5382 |
| 3 | 2691 |
| 3 | 897 |
| 13 | 299 |
| 23 | 23 |
| 1 |
Prime factors of 5382 are 2, 3, 13,23. Prime factorization of 5382 in exponential form is:
5382 = 21×32×131×231
Now multiplying the highest exponent prime factors to calculate the LCM of 5377 and 5382.
LCM(5377,5382) = 21×32×131×191×231×2831
LCM(5377,5382) = 28939014
Factors of 5377
List of positive integer factors of 5377 that divides 5377 without a remainder.
1, 19, 283, 5377
Factors of 5382
List of positive integer factors of 5382 that divides 5382 without a remainder.
1, 2, 3, 6, 9, 13, 18, 23, 26, 39, 46, 69, 78, 117, 138, 207, 234, 299, 414, 598, 897, 1794, 2691, 5382
Least Common Multiple of 5377 and 5382 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5377 and 5382, than apply into the LCM equation.
GCF(5377,5382) = 1
LCM(5377,5382) = ( 5377 × 5382) / 1
LCM(5377,5382) = 28939014 / 1
LCM(5377,5382) = 28939014
Properties of LCM 5377 and 5382
(i) The LCM of 5382 and 5377 is associative
LCM of 5377 and 5382 = LCM of 5382 and 5377
Related Least Common Multiples of 5377
Related Least Common Multiples of 5382
Frequently Asked Questions on LCM of 5377 and 5382
1. What is the LCM of 5377 and 5382?
Answer: LCM of 5377 and 5382 is 28939014.
2. What are the Factors of 5377?
Answer: Factors of 5377 are 1, 19, 283, 5377. There are 4 integers that are factors of 5377. The greatest factor of 5377 is 5377.
3. What are the Factors of 5382?
Answer: Factors of 5382 are 1, 2, 3, 6, 9, 13, 18, 23, 26, 39, 46, 69, 78, 117, 138, 207, 234, 299, 414, 598, 897, 1794, 2691, 5382. There are 24 integers that are factors of 5382. The greatest factor of 5382 is 5382.
4. How to Find the LCM of 5377 and 5382?
Answer:
Least Common Multiple of 5377 and 5382 = 28939014
Step 1: Find the prime factorization of 5377
5377 = 19 x 283
Step 2: Find the prime factorization of 5382
5382 = 2 x 3 x 3 x 13 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 28939014 = 2 x 3 x 3 x 13 x 19 x 23 x 283
Step 4: Therefore, the least common multiple of 5377 and 5382 is 28939014.