Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1513 and 1521 the smallest integer that is 2301273 that is divisible by both numbers.
Least Common Multiple (LCM) of 1513 and 1521 is 2301273.
LCM(1513,1521) = 2301273
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 1513 and 1521. First we will calculate the prime factors of 1513 and 1521.
Prime Factorization of 1513
17 | 1513 |
89 | 89 |
1 |
Prime factors of 1513 are 17,89. Prime factorization of 1513 in exponential form is:
1513 = 171×891
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
Now multiplying the highest exponent prime factors to calculate the LCM of 1513 and 1521.
LCM(1513,1521) = 32×132×171×891
LCM(1513,1521) = 2301273
Factors of 1513
List of positive integer factors of 1513 that divides 1513 without a remainder.
1, 17, 89, 1513
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
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1513 and 1521, than apply into the LCM equation.
GCF(1513,1521) = 1
LCM(1513,1521) = ( 1513 × 1521) / 1
LCM(1513,1521) = 2301273 / 1
LCM(1513,1521) = 2301273
(i) The LCM of 1521 and 1513 is associative
LCM of 1513 and 1521 = LCM of 1521 and 1513
1. What is the LCM of 1513 and 1521?
Answer: LCM of 1513 and 1521 is 2301273.
2. What are the Factors of 1513?
Answer: Factors of 1513 are 1, 17, 89, 1513. There are 4 integers that are factors of 1513. The greatest factor of 1513 is 1513.
3. 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.
4. How to Find the LCM of 1513 and 1521?
Answer:
Least Common Multiple of 1513 and 1521 = 2301273
Step 1: Find the prime factorization of 1513
1513 = 17 x 89
Step 2: Find the prime factorization of 1521
1521 = 3 x 3 x 13 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2301273 = 3 x 3 x 13 x 13 x 17 x 89
Step 4: Therefore, the least common multiple of 1513 and 1521 is 2301273.