Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5330 and 5334 the smallest integer that is 14215110 that is divisible by both numbers.
Least Common Multiple (LCM) of 5330 and 5334 is 14215110.
LCM(5330,5334) = 14215110
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 5330 and 5334. First we will calculate the prime factors of 5330 and 5334.
Prime Factorization of 5330
2 | 5330 |
5 | 2665 |
13 | 533 |
41 | 41 |
1 |
Prime factors of 5330 are 2, 5, 13,41. Prime factorization of 5330 in exponential form is:
5330 = 21×51×131×411
Prime Factorization of 5334
2 | 5334 |
3 | 2667 |
7 | 889 |
127 | 127 |
1 |
Prime factors of 5334 are 2, 3, 7,127. Prime factorization of 5334 in exponential form is:
5334 = 21×31×71×1271
Now multiplying the highest exponent prime factors to calculate the LCM of 5330 and 5334.
LCM(5330,5334) = 21×31×51×71×131×411×1271
LCM(5330,5334) = 14215110
Factors of 5330
List of positive integer factors of 5330 that divides 5330 without a remainder.
1, 2, 5, 10, 13, 26, 41, 65, 82, 130, 205, 410, 533, 1066, 2665, 5330
Factors of 5334
List of positive integer factors of 5334 that divides 5334 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 127, 254, 381, 762, 889, 1778, 2667, 5334
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5330 and 5334, than apply into the LCM equation.
GCF(5330,5334) = 2
LCM(5330,5334) = ( 5330 × 5334) / 2
LCM(5330,5334) = 28430220 / 2
LCM(5330,5334) = 14215110
(i) The LCM of 5334 and 5330 is associative
LCM of 5330 and 5334 = LCM of 5334 and 5330
1. What is the LCM of 5330 and 5334?
Answer: LCM of 5330 and 5334 is 14215110.
2. What are the Factors of 5330?
Answer: Factors of 5330 are 1, 2, 5, 10, 13, 26, 41, 65, 82, 130, 205, 410, 533, 1066, 2665, 5330. There are 16 integers that are factors of 5330. The greatest factor of 5330 is 5330.
3. What are the Factors of 5334?
Answer: Factors of 5334 are 1, 2, 3, 6, 7, 14, 21, 42, 127, 254, 381, 762, 889, 1778, 2667, 5334. There are 16 integers that are factors of 5334. The greatest factor of 5334 is 5334.
4. How to Find the LCM of 5330 and 5334?
Answer:
Least Common Multiple of 5330 and 5334 = 14215110
Step 1: Find the prime factorization of 5330
5330 = 2 x 5 x 13 x 41
Step 2: Find the prime factorization of 5334
5334 = 2 x 3 x 7 x 127
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14215110 = 2 x 3 x 5 x 7 x 13 x 41 x 127
Step 4: Therefore, the least common multiple of 5330 and 5334 is 14215110.