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 5443 the smallest integer that is 29593591 that is divisible by both numbers.
Least Common Multiple (LCM) of 5437 and 5443 is 29593591.
LCM(5437,5443) = 29593591
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 5443. First we will calculate the prime factors of 5437 and 5443.
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 5443
5443 | 5443 |
1 |
Prime factors of 5443 are 5443. Prime factorization of 5443 in exponential form is:
5443 = 54431
Now multiplying the highest exponent prime factors to calculate the LCM of 5437 and 5443.
LCM(5437,5443) = 54371×54431
LCM(5437,5443) = 29593591
Factors of 5437
List of positive integer factors of 5437 that divides 5437 without a remainder.
1, 5437
Factors of 5443
List of positive integer factors of 5443 that divides 5443 without a remainder.
1, 5443
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5437 and 5443, than apply into the LCM equation.
GCF(5437,5443) = 1
LCM(5437,5443) = ( 5437 × 5443) / 1
LCM(5437,5443) = 29593591 / 1
LCM(5437,5443) = 29593591
(i) The LCM of 5443 and 5437 is associative
LCM of 5437 and 5443 = LCM of 5443 and 5437
1. What is the LCM of 5437 and 5443?
Answer: LCM of 5437 and 5443 is 29593591.
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 5443?
Answer: Factors of 5443 are 1, 5443. There are 2 integers that are factors of 5443. The greatest factor of 5443 is 5443.
4. How to Find the LCM of 5437 and 5443?
Answer:
Least Common Multiple of 5437 and 5443 = 29593591
Step 1: Find the prime factorization of 5437
5437 = 5437
Step 2: Find the prime factorization of 5443
5443 = 5443
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 29593591 = 5437 x 5443
Step 4: Therefore, the least common multiple of 5437 and 5443 is 29593591.