Least Common Multiple of 5379 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 5379 and 5383 the smallest integer that is 28955157 that is divisible by both numbers.
Least Common Multiple (LCM) of 5379 and 5383 is 28955157.
LCM(5379,5383) = 28955157
LCM of 5379 and 5383
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5379 and 5383 by Prime method
- Least Common Multiple of 5379 and 5383 with GCF Formula
LCM of 5379 and 5383 is 28955157
Least common multiple can be found by multiplying the highest exponent prime factors of 5379 and 5383. First we will calculate the prime factors of 5379 and 5383.
Prime Factorization of 5379
| 3 | 5379 |
| 11 | 1793 |
| 163 | 163 |
| 1 |
Prime factors of 5379 are 3, 11,163. Prime factorization of 5379 in exponential form is:
5379 = 31×111×1631
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 5379 and 5383.
LCM(5379,5383) = 31×71×111×1631×7691
LCM(5379,5383) = 28955157
Factors of 5379
List of positive integer factors of 5379 that divides 5379 without a remainder.
1, 3, 11, 33, 163, 489, 1793, 5379
Factors of 5383
List of positive integer factors of 5383 that divides 5383 without a remainder.
1, 7, 769, 5383
Least Common Multiple of 5379 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 5379 and 5383, than apply into the LCM equation.
GCF(5379,5383) = 1
LCM(5379,5383) = ( 5379 × 5383) / 1
LCM(5379,5383) = 28955157 / 1
LCM(5379,5383) = 28955157
Properties of LCM 5379 and 5383
(i) The LCM of 5383 and 5379 is associative
LCM of 5379 and 5383 = LCM of 5383 and 5379
Related Least Common Multiples of 5379
Related Least Common Multiples of 5383
Frequently Asked Questions on LCM of 5379 and 5383
1. What is the LCM of 5379 and 5383?
Answer: LCM of 5379 and 5383 is 28955157.
2. What are the Factors of 5379?
Answer: Factors of 5379 are 1, 3, 11, 33, 163, 489, 1793, 5379. There are 8 integers that are factors of 5379. The greatest factor of 5379 is 5379.
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 5379 and 5383?
Answer:
Least Common Multiple of 5379 and 5383 = 28955157
Step 1: Find the prime factorization of 5379
5379 = 3 x 11 x 163
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 = 28955157 = 3 x 7 x 11 x 163 x 769
Step 4: Therefore, the least common multiple of 5379 and 5383 is 28955157.