Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5434 and 5438 the smallest integer that is 14775046 that is divisible by both numbers.
Least Common Multiple (LCM) of 5434 and 5438 is 14775046.
LCM(5434,5438) = 14775046
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 5434 and 5438. First we will calculate the prime factors of 5434 and 5438.
Prime Factorization of 5434
2 | 5434 |
11 | 2717 |
13 | 247 |
19 | 19 |
1 |
Prime factors of 5434 are 2, 11, 13,19. Prime factorization of 5434 in exponential form is:
5434 = 21×111×131×191
Prime Factorization of 5438
2 | 5438 |
2719 | 2719 |
1 |
Prime factors of 5438 are 2,2719. Prime factorization of 5438 in exponential form is:
5438 = 21×27191
Now multiplying the highest exponent prime factors to calculate the LCM of 5434 and 5438.
LCM(5434,5438) = 21×111×131×191×27191
LCM(5434,5438) = 14775046
Factors of 5434
List of positive integer factors of 5434 that divides 5434 without a remainder.
1, 2, 11, 13, 19, 22, 26, 38, 143, 209, 247, 286, 418, 494, 2717, 5434
Factors of 5438
List of positive integer factors of 5438 that divides 5438 without a remainder.
1, 2, 2719, 5438
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5434 and 5438, than apply into the LCM equation.
GCF(5434,5438) = 2
LCM(5434,5438) = ( 5434 × 5438) / 2
LCM(5434,5438) = 29550092 / 2
LCM(5434,5438) = 14775046
(i) The LCM of 5438 and 5434 is associative
LCM of 5434 and 5438 = LCM of 5438 and 5434
1. What is the LCM of 5434 and 5438?
Answer: LCM of 5434 and 5438 is 14775046.
2. What are the Factors of 5434?
Answer: Factors of 5434 are 1, 2, 11, 13, 19, 22, 26, 38, 143, 209, 247, 286, 418, 494, 2717, 5434. There are 16 integers that are factors of 5434. The greatest factor of 5434 is 5434.
3. What are the Factors of 5438?
Answer: Factors of 5438 are 1, 2, 2719, 5438. There are 4 integers that are factors of 5438. The greatest factor of 5438 is 5438.
4. How to Find the LCM of 5434 and 5438?
Answer:
Least Common Multiple of 5434 and 5438 = 14775046
Step 1: Find the prime factorization of 5434
5434 = 2 x 11 x 13 x 19
Step 2: Find the prime factorization of 5438
5438 = 2 x 2719
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14775046 = 2 x 11 x 13 x 19 x 2719
Step 4: Therefore, the least common multiple of 5434 and 5438 is 14775046.