Least Common Multiple of 1537 and 1545
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1537 and 1545 the smallest integer that is 2374665 that is divisible by both numbers.
Least Common Multiple (LCM) of 1537 and 1545 is 2374665.
LCM(1537,1545) = 2374665
LCM of 1537 and 1545
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1537 and 1545 by Prime method
- Least Common Multiple of 1537 and 1545 with GCF Formula
LCM of 1537 and 1545 is 2374665
Least common multiple can be found by multiplying the highest exponent prime factors of 1537 and 1545. First we will calculate the prime factors of 1537 and 1545.
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
Prime Factorization of 1545
| 3 | 1545 |
| 5 | 515 |
| 103 | 103 |
| 1 |
Prime factors of 1545 are 3, 5,103. Prime factorization of 1545 in exponential form is:
1545 = 31×51×1031
Now multiplying the highest exponent prime factors to calculate the LCM of 1537 and 1545.
LCM(1537,1545) = 31×51×291×531×1031
LCM(1537,1545) = 2374665
Factors of 1537
List of positive integer factors of 1537 that divides 1537 without a remainder.
1, 29, 53, 1537
Factors of 1545
List of positive integer factors of 1545 that divides 1545 without a remainder.
1, 3, 5, 15, 103, 309, 515, 1545
Least Common Multiple of 1537 and 1545 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1537 and 1545, than apply into the LCM equation.
GCF(1537,1545) = 1
LCM(1537,1545) = ( 1537 × 1545) / 1
LCM(1537,1545) = 2374665 / 1
LCM(1537,1545) = 2374665
Properties of LCM 1537 and 1545
(i) The LCM of 1545 and 1537 is associative
LCM of 1537 and 1545 = LCM of 1545 and 1537
Related Least Common Multiples of 1537
Related Least Common Multiples of 1545
Frequently Asked Questions on LCM of 1537 and 1545
1. What is the LCM of 1537 and 1545?
Answer: LCM of 1537 and 1545 is 2374665.
2. 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.
3. What are the Factors of 1545?
Answer: Factors of 1545 are 1, 3, 5, 15, 103, 309, 515, 1545. There are 8 integers that are factors of 1545. The greatest factor of 1545 is 1545.
4. How to Find the LCM of 1537 and 1545?
Answer:
Least Common Multiple of 1537 and 1545 = 2374665
Step 1: Find the prime factorization of 1537
1537 = 29 x 53
Step 2: Find the prime factorization of 1545
1545 = 3 x 5 x 103
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2374665 = 3 x 5 x 29 x 53 x 103
Step 4: Therefore, the least common multiple of 1537 and 1545 is 2374665.