Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5438 and 5446 the smallest integer that is 14807674 that is divisible by both numbers.
Least Common Multiple (LCM) of 5438 and 5446 is 14807674.
LCM(5438,5446) = 14807674
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 5438 and 5446. First we will calculate the prime factors of 5438 and 5446.
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
Prime Factorization of 5446
2 | 5446 |
7 | 2723 |
389 | 389 |
1 |
Prime factors of 5446 are 2, 7,389. Prime factorization of 5446 in exponential form is:
5446 = 21×71×3891
Now multiplying the highest exponent prime factors to calculate the LCM of 5438 and 5446.
LCM(5438,5446) = 21×71×3891×27191
LCM(5438,5446) = 14807674
Factors of 5438
List of positive integer factors of 5438 that divides 5438 without a remainder.
1, 2, 2719, 5438
Factors of 5446
List of positive integer factors of 5446 that divides 5446 without a remainder.
1, 2, 7, 14, 389, 778, 2723, 5446
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5438 and 5446, than apply into the LCM equation.
GCF(5438,5446) = 2
LCM(5438,5446) = ( 5438 × 5446) / 2
LCM(5438,5446) = 29615348 / 2
LCM(5438,5446) = 14807674
(i) The LCM of 5446 and 5438 is associative
LCM of 5438 and 5446 = LCM of 5446 and 5438
1. What is the LCM of 5438 and 5446?
Answer: LCM of 5438 and 5446 is 14807674.
2. 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.
3. What are the Factors of 5446?
Answer: Factors of 5446 are 1, 2, 7, 14, 389, 778, 2723, 5446. There are 8 integers that are factors of 5446. The greatest factor of 5446 is 5446.
4. How to Find the LCM of 5438 and 5446?
Answer:
Least Common Multiple of 5438 and 5446 = 14807674
Step 1: Find the prime factorization of 5438
5438 = 2 x 2719
Step 2: Find the prime factorization of 5446
5446 = 2 x 7 x 389
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14807674 = 2 x 7 x 389 x 2719
Step 4: Therefore, the least common multiple of 5438 and 5446 is 14807674.