Least Common Multiple of 1529 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 1529 and 1537 the smallest integer that is 2350073 that is divisible by both numbers.
Least Common Multiple (LCM) of 1529 and 1537 is 2350073.
LCM(1529,1537) = 2350073
LCM of 1529 and 1537
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1529 and 1537 by Prime method
- Least Common Multiple of 1529 and 1537 with GCF Formula
LCM of 1529 and 1537 is 2350073
Least common multiple can be found by multiplying the highest exponent prime factors of 1529 and 1537. First we will calculate the prime factors of 1529 and 1537.
Prime Factorization of 1529
| 11 | 1529 |
| 139 | 139 |
| 1 |
Prime factors of 1529 are 11,139. Prime factorization of 1529 in exponential form is:
1529 = 111×1391
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 1529 and 1537.
LCM(1529,1537) = 111×291×531×1391
LCM(1529,1537) = 2350073
Factors of 1529
List of positive integer factors of 1529 that divides 1529 without a remainder.
1, 11, 139, 1529
Factors of 1537
List of positive integer factors of 1537 that divides 1537 without a remainder.
1, 29, 53, 1537
Least Common Multiple of 1529 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 1529 and 1537, than apply into the LCM equation.
GCF(1529,1537) = 1
LCM(1529,1537) = ( 1529 × 1537) / 1
LCM(1529,1537) = 2350073 / 1
LCM(1529,1537) = 2350073
Properties of LCM 1529 and 1537
(i) The LCM of 1537 and 1529 is associative
LCM of 1529 and 1537 = LCM of 1537 and 1529
Related Least Common Multiples of 1529
Related Least Common Multiples of 1537
Frequently Asked Questions on LCM of 1529 and 1537
1. What is the LCM of 1529 and 1537?
Answer: LCM of 1529 and 1537 is 2350073.
2. What are the Factors of 1529?
Answer: Factors of 1529 are 1, 11, 139, 1529. There are 4 integers that are factors of 1529. The greatest factor of 1529 is 1529.
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 1529 and 1537?
Answer:
Least Common Multiple of 1529 and 1537 = 2350073
Step 1: Find the prime factorization of 1529
1529 = 11 x 139
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 = 2350073 = 11 x 29 x 53 x 139
Step 4: Therefore, the least common multiple of 1529 and 1537 is 2350073.
