Least Common Multiple of 1521 and 1529
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1521 and 1529 the smallest integer that is 2325609 that is divisible by both numbers.
Least Common Multiple (LCM) of 1521 and 1529 is 2325609.
LCM(1521,1529) = 2325609
LCM of 1521 and 1529
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1521 and 1529 by Prime method
- Least Common Multiple of 1521 and 1529 with GCF Formula
LCM of 1521 and 1529 is 2325609
Least common multiple can be found by multiplying the highest exponent prime factors of 1521 and 1529. First we will calculate the prime factors of 1521 and 1529.
Prime Factorization of 1521
| 3 | 1521 |
| 3 | 507 |
| 13 | 169 |
| 13 | 13 |
| 1 |
Prime factors of 1521 are 3,13. Prime factorization of 1521 in exponential form is:
1521 = 32×132
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
Now multiplying the highest exponent prime factors to calculate the LCM of 1521 and 1529.
LCM(1521,1529) = 32×111×132×1391
LCM(1521,1529) = 2325609
Factors of 1521
List of positive integer factors of 1521 that divides 1521 without a remainder.
1, 3, 9, 13, 39, 117, 169, 507, 1521
Factors of 1529
List of positive integer factors of 1529 that divides 1529 without a remainder.
1, 11, 139, 1529
Least Common Multiple of 1521 and 1529 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1521 and 1529, than apply into the LCM equation.
GCF(1521,1529) = 1
LCM(1521,1529) = ( 1521 × 1529) / 1
LCM(1521,1529) = 2325609 / 1
LCM(1521,1529) = 2325609
Properties of LCM 1521 and 1529
(i) The LCM of 1529 and 1521 is associative
LCM of 1521 and 1529 = LCM of 1529 and 1521
Related Least Common Multiples of 1521
Related Least Common Multiples of 1529
Frequently Asked Questions on LCM of 1521 and 1529
1. What is the LCM of 1521 and 1529?
Answer: LCM of 1521 and 1529 is 2325609.
2. What are the Factors of 1521?
Answer: Factors of 1521 are 1, 3, 9, 13, 39, 117, 169, 507, 1521. There are 9 integers that are factors of 1521. The greatest factor of 1521 is 1521.
3. 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.
4. How to Find the LCM of 1521 and 1529?
Answer:
Least Common Multiple of 1521 and 1529 = 2325609
Step 1: Find the prime factorization of 1521
1521 = 3 x 3 x 13 x 13
Step 2: Find the prime factorization of 1529
1529 = 11 x 139
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2325609 = 3 x 3 x 11 x 13 x 13 x 139
Step 4: Therefore, the least common multiple of 1521 and 1529 is 2325609.