Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5633 and 5637 the smallest integer that is 31753221 that is divisible by both numbers.
Least Common Multiple (LCM) of 5633 and 5637 is 31753221.
LCM(5633,5637) = 31753221
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 5633 and 5637. First we will calculate the prime factors of 5633 and 5637.
Prime Factorization of 5633
43 | 5633 |
131 | 131 |
1 |
Prime factors of 5633 are 43,131. Prime factorization of 5633 in exponential form is:
5633 = 431×1311
Prime Factorization of 5637
3 | 5637 |
1879 | 1879 |
1 |
Prime factors of 5637 are 3,1879. Prime factorization of 5637 in exponential form is:
5637 = 31×18791
Now multiplying the highest exponent prime factors to calculate the LCM of 5633 and 5637.
LCM(5633,5637) = 31×431×1311×18791
LCM(5633,5637) = 31753221
Factors of 5633
List of positive integer factors of 5633 that divides 5633 without a remainder.
1, 43, 131, 5633
Factors of 5637
List of positive integer factors of 5637 that divides 5637 without a remainder.
1, 3, 1879, 5637
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5633 and 5637, than apply into the LCM equation.
GCF(5633,5637) = 1
LCM(5633,5637) = ( 5633 × 5637) / 1
LCM(5633,5637) = 31753221 / 1
LCM(5633,5637) = 31753221
(i) The LCM of 5637 and 5633 is associative
LCM of 5633 and 5637 = LCM of 5637 and 5633
1. What is the LCM of 5633 and 5637?
Answer: LCM of 5633 and 5637 is 31753221.
2. What are the Factors of 5633?
Answer: Factors of 5633 are 1, 43, 131, 5633. There are 4 integers that are factors of 5633. The greatest factor of 5633 is 5633.
3. What are the Factors of 5637?
Answer: Factors of 5637 are 1, 3, 1879, 5637. There are 4 integers that are factors of 5637. The greatest factor of 5637 is 5637.
4. How to Find the LCM of 5633 and 5637?
Answer:
Least Common Multiple of 5633 and 5637 = 31753221
Step 1: Find the prime factorization of 5633
5633 = 43 x 131
Step 2: Find the prime factorization of 5637
5637 = 3 x 1879
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 31753221 = 3 x 43 x 131 x 1879
Step 4: Therefore, the least common multiple of 5633 and 5637 is 31753221.