Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5433 and 5437 the smallest integer that is 29539221 that is divisible by both numbers.
Least Common Multiple (LCM) of 5433 and 5437 is 29539221.
LCM(5433,5437) = 29539221
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 5433 and 5437. First we will calculate the prime factors of 5433 and 5437.
Prime Factorization of 5433
3 | 5433 |
1811 | 1811 |
1 |
Prime factors of 5433 are 3,1811. Prime factorization of 5433 in exponential form is:
5433 = 31×18111
Prime Factorization of 5437
5437 | 5437 |
1 |
Prime factors of 5437 are 5437. Prime factorization of 5437 in exponential form is:
5437 = 54371
Now multiplying the highest exponent prime factors to calculate the LCM of 5433 and 5437.
LCM(5433,5437) = 31×18111×54371
LCM(5433,5437) = 29539221
Factors of 5433
List of positive integer factors of 5433 that divides 5433 without a remainder.
1, 3, 1811, 5433
Factors of 5437
List of positive integer factors of 5437 that divides 5437 without a remainder.
1, 5437
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5433 and 5437, than apply into the LCM equation.
GCF(5433,5437) = 1
LCM(5433,5437) = ( 5433 × 5437) / 1
LCM(5433,5437) = 29539221 / 1
LCM(5433,5437) = 29539221
(i) The LCM of 5437 and 5433 is associative
LCM of 5433 and 5437 = LCM of 5437 and 5433
1. What is the LCM of 5433 and 5437?
Answer: LCM of 5433 and 5437 is 29539221.
2. What are the Factors of 5433?
Answer: Factors of 5433 are 1, 3, 1811, 5433. There are 4 integers that are factors of 5433. The greatest factor of 5433 is 5433.
3. 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.
4. How to Find the LCM of 5433 and 5437?
Answer:
Least Common Multiple of 5433 and 5437 = 29539221
Step 1: Find the prime factorization of 5433
5433 = 3 x 1811
Step 2: Find the prime factorization of 5437
5437 = 5437
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 29539221 = 3 x 1811 x 5437
Step 4: Therefore, the least common multiple of 5433 and 5437 is 29539221.