Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5333 and 5340 the smallest integer that is 28478220 that is divisible by both numbers.
Least Common Multiple (LCM) of 5333 and 5340 is 28478220.
LCM(5333,5340) = 28478220
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 5333 and 5340. First we will calculate the prime factors of 5333 and 5340.
Prime Factorization of 5333
5333 | 5333 |
1 |
Prime factors of 5333 are 5333. Prime factorization of 5333 in exponential form is:
5333 = 53331
Prime Factorization of 5340
2 | 5340 |
2 | 2670 |
3 | 1335 |
5 | 445 |
89 | 89 |
1 |
Prime factors of 5340 are 2, 3, 5,89. Prime factorization of 5340 in exponential form is:
5340 = 22×31×51×891
Now multiplying the highest exponent prime factors to calculate the LCM of 5333 and 5340.
LCM(5333,5340) = 22×31×51×891×53331
LCM(5333,5340) = 28478220
Factors of 5333
List of positive integer factors of 5333 that divides 5333 without a remainder.
1, 5333
Factors of 5340
List of positive integer factors of 5340 that divides 5340 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 89, 178, 267, 356, 445, 534, 890, 1068, 1335, 1780, 2670, 5340
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5333 and 5340, than apply into the LCM equation.
GCF(5333,5340) = 1
LCM(5333,5340) = ( 5333 × 5340) / 1
LCM(5333,5340) = 28478220 / 1
LCM(5333,5340) = 28478220
(i) The LCM of 5340 and 5333 is associative
LCM of 5333 and 5340 = LCM of 5340 and 5333
1. What is the LCM of 5333 and 5340?
Answer: LCM of 5333 and 5340 is 28478220.
2. What are the Factors of 5333?
Answer: Factors of 5333 are 1, 5333. There are 2 integers that are factors of 5333. The greatest factor of 5333 is 5333.
3. What are the Factors of 5340?
Answer: Factors of 5340 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 89, 178, 267, 356, 445, 534, 890, 1068, 1335, 1780, 2670, 5340. There are 24 integers that are factors of 5340. The greatest factor of 5340 is 5340.
4. How to Find the LCM of 5333 and 5340?
Answer:
Least Common Multiple of 5333 and 5340 = 28478220
Step 1: Find the prime factorization of 5333
5333 = 5333
Step 2: Find the prime factorization of 5340
5340 = 2 x 2 x 3 x 5 x 89
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 28478220 = 2 x 2 x 3 x 5 x 89 x 5333
Step 4: Therefore, the least common multiple of 5333 and 5340 is 28478220.