Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5383 and 5388 the smallest integer that is 29003604 that is divisible by both numbers.
Least Common Multiple (LCM) of 5383 and 5388 is 29003604.
LCM(5383,5388) = 29003604
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 5383 and 5388. First we will calculate the prime factors of 5383 and 5388.
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
Prime Factorization of 5388
2 | 5388 |
2 | 2694 |
3 | 1347 |
449 | 449 |
1 |
Prime factors of 5388 are 2, 3,449. Prime factorization of 5388 in exponential form is:
5388 = 22×31×4491
Now multiplying the highest exponent prime factors to calculate the LCM of 5383 and 5388.
LCM(5383,5388) = 22×31×71×4491×7691
LCM(5383,5388) = 29003604
Factors of 5383
List of positive integer factors of 5383 that divides 5383 without a remainder.
1, 7, 769, 5383
Factors of 5388
List of positive integer factors of 5388 that divides 5388 without a remainder.
1, 2, 3, 4, 6, 12, 449, 898, 1347, 1796, 2694, 5388
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5383 and 5388, than apply into the LCM equation.
GCF(5383,5388) = 1
LCM(5383,5388) = ( 5383 × 5388) / 1
LCM(5383,5388) = 29003604 / 1
LCM(5383,5388) = 29003604
(i) The LCM of 5388 and 5383 is associative
LCM of 5383 and 5388 = LCM of 5388 and 5383
1. What is the LCM of 5383 and 5388?
Answer: LCM of 5383 and 5388 is 29003604.
2. 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.
3. What are the Factors of 5388?
Answer: Factors of 5388 are 1, 2, 3, 4, 6, 12, 449, 898, 1347, 1796, 2694, 5388. There are 12 integers that are factors of 5388. The greatest factor of 5388 is 5388.
4. How to Find the LCM of 5383 and 5388?
Answer:
Least Common Multiple of 5383 and 5388 = 29003604
Step 1: Find the prime factorization of 5383
5383 = 7 x 769
Step 2: Find the prime factorization of 5388
5388 = 2 x 2 x 3 x 449
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 29003604 = 2 x 2 x 3 x 7 x 449 x 769
Step 4: Therefore, the least common multiple of 5383 and 5388 is 29003604.