Least Common Multiple of 5377 and 5383
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 5383 the smallest integer that is 28944391 that is divisible by both numbers.
Least Common Multiple (LCM) of 5377 and 5383 is 28944391.
LCM(5377,5383) = 28944391
LCM of 5377 and 5383
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5377 and 5383 by Prime method
- Least Common Multiple of 5377 and 5383 with GCF Formula
LCM of 5377 and 5383 is 28944391
Least common multiple can be found by multiplying the highest exponent prime factors of 5377 and 5383. First we will calculate the prime factors of 5377 and 5383.
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 5383
| 7 | 5383 |
| 769 | 769 |
| 1 |
Prime factors of 5383 are 7,769. Prime factorization of 5383 in exponential form is:
5383 = 71×7691
Now multiplying the highest exponent prime factors to calculate the LCM of 5377 and 5383.
LCM(5377,5383) = 71×191×2831×7691
LCM(5377,5383) = 28944391
Factors of 5377
List of positive integer factors of 5377 that divides 5377 without a remainder.
1, 19, 283, 5377
Factors of 5383
List of positive integer factors of 5383 that divides 5383 without a remainder.
1, 7, 769, 5383
Least Common Multiple of 5377 and 5383 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 5383, than apply into the LCM equation.
GCF(5377,5383) = 1
LCM(5377,5383) = ( 5377 × 5383) / 1
LCM(5377,5383) = 28944391 / 1
LCM(5377,5383) = 28944391
Properties of LCM 5377 and 5383
(i) The LCM of 5383 and 5377 is associative
LCM of 5377 and 5383 = LCM of 5383 and 5377
Related Least Common Multiples of 5377
Related Least Common Multiples of 5383
Frequently Asked Questions on LCM of 5377 and 5383
1. What is the LCM of 5377 and 5383?
Answer: LCM of 5377 and 5383 is 28944391.
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 5383?
Answer: Factors of 5383 are 1, 7, 769, 5383. There are 4 integers that are factors of 5383. The greatest factor of 5383 is 5383.
4. How to Find the LCM of 5377 and 5383?
Answer:
Least Common Multiple of 5377 and 5383 = 28944391
Step 1: Find the prime factorization of 5377
5377 = 19 x 283
Step 2: Find the prime factorization of 5383
5383 = 7 x 769
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 28944391 = 7 x 19 x 283 x 769
Step 4: Therefore, the least common multiple of 5377 and 5383 is 28944391.