Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5437 and 5445 the smallest integer that is 29604465 that is divisible by both numbers.
Least Common Multiple (LCM) of 5437 and 5445 is 29604465.
LCM(5437,5445) = 29604465
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 5437 and 5445. First we will calculate the prime factors of 5437 and 5445.
Prime Factorization of 5437
5437 | 5437 |
1 |
Prime factors of 5437 are 5437. Prime factorization of 5437 in exponential form is:
5437 = 54371
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 5437 and 5445.
LCM(5437,5445) = 32×51×112×54371
LCM(5437,5445) = 29604465
Factors of 5437
List of positive integer factors of 5437 that divides 5437 without a remainder.
1, 5437
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
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5437 and 5445, than apply into the LCM equation.
GCF(5437,5445) = 1
LCM(5437,5445) = ( 5437 × 5445) / 1
LCM(5437,5445) = 29604465 / 1
LCM(5437,5445) = 29604465
(i) The LCM of 5445 and 5437 is associative
LCM of 5437 and 5445 = LCM of 5445 and 5437
1. What is the LCM of 5437 and 5445?
Answer: LCM of 5437 and 5445 is 29604465.
2. What are the Factors of 5437?
Answer: Factors of 5437 are 1, 5437. There are 2 integers that are factors of 5437. The greatest factor of 5437 is 5437.
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 5437 and 5445?
Answer:
Least Common Multiple of 5437 and 5445 = 29604465
Step 1: Find the prime factorization of 5437
5437 = 5437
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 = 29604465 = 3 x 3 x 5 x 11 x 11 x 5437
Step 4: Therefore, the least common multiple of 5437 and 5445 is 29604465.