Least Common Multiple of 5438 and 5445
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 5445 the smallest integer that is 29609910 that is divisible by both numbers.
Least Common Multiple (LCM) of 5438 and 5445 is 29609910.
LCM(5438,5445) = 29609910
LCM of 5438 and 5445
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5438 and 5445 by Prime method
- Least Common Multiple of 5438 and 5445 with GCF Formula
LCM of 5438 and 5445 is 29609910
Least common multiple can be found by multiplying the highest exponent prime factors of 5438 and 5445. First we will calculate the prime factors of 5438 and 5445.
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 5445
| 3 | 5445 |
| 3 | 1815 |
| 5 | 605 |
| 11 | 121 |
| 11 | 11 |
| 1 |
Prime factors of 5445 are 3, 5,11. Prime factorization of 5445 in exponential form is:
5445 = 32×51×112
Now multiplying the highest exponent prime factors to calculate the LCM of 5438 and 5445.
LCM(5438,5445) = 21×32×51×112×27191
LCM(5438,5445) = 29609910
Factors of 5438
List of positive integer factors of 5438 that divides 5438 without a remainder.
1, 2, 2719, 5438
Factors of 5445
List of positive integer factors of 5445 that divides 5445 without a remainder.
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 121, 165, 363, 495, 605, 1089, 1815, 5445
Least Common Multiple of 5438 and 5445 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5438 and 5445, than apply into the LCM equation.
GCF(5438,5445) = 1
LCM(5438,5445) = ( 5438 × 5445) / 1
LCM(5438,5445) = 29609910 / 1
LCM(5438,5445) = 29609910
Properties of LCM 5438 and 5445
(i) The LCM of 5445 and 5438 is associative
LCM of 5438 and 5445 = LCM of 5445 and 5438
Related Least Common Multiples of 5438
Related Least Common Multiples of 5445
Frequently Asked Questions on LCM of 5438 and 5445
1. What is the LCM of 5438 and 5445?
Answer: LCM of 5438 and 5445 is 29609910.
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 5445?
Answer: Factors of 5445 are 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 121, 165, 363, 495, 605, 1089, 1815, 5445. There are 18 integers that are factors of 5445. The greatest factor of 5445 is 5445.
4. How to Find the LCM of 5438 and 5445?
Answer:
Least Common Multiple of 5438 and 5445 = 29609910
Step 1: Find the prime factorization of 5438
5438 = 2 x 2719
Step 2: Find the prime factorization of 5445
5445 = 3 x 3 x 5 x 11 x 11
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 29609910 = 2 x 3 x 3 x 5 x 11 x 11 x 2719
Step 4: Therefore, the least common multiple of 5438 and 5445 is 29609910.