Least Common Multiple of 1533 and 1537
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1533 and 1537 the smallest integer that is 2356221 that is divisible by both numbers.
Least Common Multiple (LCM) of 1533 and 1537 is 2356221.
LCM(1533,1537) = 2356221
LCM of 1533 and 1537
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1533 and 1537 by Prime method
- Least Common Multiple of 1533 and 1537 with GCF Formula
LCM of 1533 and 1537 is 2356221
Least common multiple can be found by multiplying the highest exponent prime factors of 1533 and 1537. First we will calculate the prime factors of 1533 and 1537.
Prime Factorization of 1533
| 3 | 1533 |
| 7 | 511 |
| 73 | 73 |
| 1 |
Prime factors of 1533 are 3, 7,73. Prime factorization of 1533 in exponential form is:
1533 = 31×71×731
Prime Factorization of 1537
| 29 | 1537 |
| 53 | 53 |
| 1 |
Prime factors of 1537 are 29,53. Prime factorization of 1537 in exponential form is:
1537 = 291×531
Now multiplying the highest exponent prime factors to calculate the LCM of 1533 and 1537.
LCM(1533,1537) = 31×71×291×531×731
LCM(1533,1537) = 2356221
Factors of 1533
List of positive integer factors of 1533 that divides 1533 without a remainder.
1, 3, 7, 21, 73, 219, 511, 1533
Factors of 1537
List of positive integer factors of 1537 that divides 1537 without a remainder.
1, 29, 53, 1537
Least Common Multiple of 1533 and 1537 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1533 and 1537, than apply into the LCM equation.
GCF(1533,1537) = 1
LCM(1533,1537) = ( 1533 × 1537) / 1
LCM(1533,1537) = 2356221 / 1
LCM(1533,1537) = 2356221
Properties of LCM 1533 and 1537
(i) The LCM of 1537 and 1533 is associative
LCM of 1533 and 1537 = LCM of 1537 and 1533
Related Least Common Multiples of 1533
Related Least Common Multiples of 1537
Frequently Asked Questions on LCM of 1533 and 1537
1. What is the LCM of 1533 and 1537?
Answer: LCM of 1533 and 1537 is 2356221.
2. What are the Factors of 1533?
Answer: Factors of 1533 are 1, 3, 7, 21, 73, 219, 511, 1533. There are 8 integers that are factors of 1533. The greatest factor of 1533 is 1533.
3. What are the Factors of 1537?
Answer: Factors of 1537 are 1, 29, 53, 1537. There are 4 integers that are factors of 1537. The greatest factor of 1537 is 1537.
4. How to Find the LCM of 1533 and 1537?
Answer:
Least Common Multiple of 1533 and 1537 = 2356221
Step 1: Find the prime factorization of 1533
1533 = 3 x 7 x 73
Step 2: Find the prime factorization of 1537
1537 = 29 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2356221 = 3 x 7 x 29 x 53 x 73
Step 4: Therefore, the least common multiple of 1533 and 1537 is 2356221.