Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5352 and 5359 the smallest integer that is 28681368 that is divisible by both numbers.
Least Common Multiple (LCM) of 5352 and 5359 is 28681368.
LCM(5352,5359) = 28681368
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 5352 and 5359. First we will calculate the prime factors of 5352 and 5359.
Prime Factorization of 5352
2 | 5352 |
2 | 2676 |
2 | 1338 |
3 | 669 |
223 | 223 |
1 |
Prime factors of 5352 are 2, 3,223. Prime factorization of 5352 in exponential form is:
5352 = 23×31×2231
Prime Factorization of 5359
23 | 5359 |
233 | 233 |
1 |
Prime factors of 5359 are 23,233. Prime factorization of 5359 in exponential form is:
5359 = 231×2331
Now multiplying the highest exponent prime factors to calculate the LCM of 5352 and 5359.
LCM(5352,5359) = 23×31×231×2231×2331
LCM(5352,5359) = 28681368
Factors of 5352
List of positive integer factors of 5352 that divides 5352 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 223, 446, 669, 892, 1338, 1784, 2676, 5352
Factors of 5359
List of positive integer factors of 5359 that divides 5359 without a remainder.
1, 23, 233, 5359
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5352 and 5359, than apply into the LCM equation.
GCF(5352,5359) = 1
LCM(5352,5359) = ( 5352 × 5359) / 1
LCM(5352,5359) = 28681368 / 1
LCM(5352,5359) = 28681368
(i) The LCM of 5359 and 5352 is associative
LCM of 5352 and 5359 = LCM of 5359 and 5352
1. What is the LCM of 5352 and 5359?
Answer: LCM of 5352 and 5359 is 28681368.
2. What are the Factors of 5352?
Answer: Factors of 5352 are 1, 2, 3, 4, 6, 8, 12, 24, 223, 446, 669, 892, 1338, 1784, 2676, 5352. There are 16 integers that are factors of 5352. The greatest factor of 5352 is 5352.
3. What are the Factors of 5359?
Answer: Factors of 5359 are 1, 23, 233, 5359. There are 4 integers that are factors of 5359. The greatest factor of 5359 is 5359.
4. How to Find the LCM of 5352 and 5359?
Answer:
Least Common Multiple of 5352 and 5359 = 28681368
Step 1: Find the prime factorization of 5352
5352 = 2 x 2 x 2 x 3 x 223
Step 2: Find the prime factorization of 5359
5359 = 23 x 233
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 28681368 = 2 x 2 x 2 x 3 x 23 x 223 x 233
Step 4: Therefore, the least common multiple of 5352 and 5359 is 28681368.