Least Common Multiple of 1519 and 1527
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1519 and 1527 the smallest integer that is 2319513 that is divisible by both numbers.
Least Common Multiple (LCM) of 1519 and 1527 is 2319513.
LCM(1519,1527) = 2319513
LCM of 1519 and 1527
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1519 and 1527 by Prime method
- Least Common Multiple of 1519 and 1527 with GCF Formula
LCM of 1519 and 1527 is 2319513
Least common multiple can be found by multiplying the highest exponent prime factors of 1519 and 1527. First we will calculate the prime factors of 1519 and 1527.
Prime Factorization of 1519
| 7 | 1519 |
| 7 | 217 |
| 31 | 31 |
| 1 |
Prime factors of 1519 are 7,31. Prime factorization of 1519 in exponential form is:
1519 = 72×311
Prime Factorization of 1527
| 3 | 1527 |
| 509 | 509 |
| 1 |
Prime factors of 1527 are 3,509. Prime factorization of 1527 in exponential form is:
1527 = 31×5091
Now multiplying the highest exponent prime factors to calculate the LCM of 1519 and 1527.
LCM(1519,1527) = 31×72×311×5091
LCM(1519,1527) = 2319513
Factors of 1519
List of positive integer factors of 1519 that divides 1519 without a remainder.
1, 7, 31, 49, 217, 1519
Factors of 1527
List of positive integer factors of 1527 that divides 1527 without a remainder.
1, 3, 509, 1527
Least Common Multiple of 1519 and 1527 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1519 and 1527, than apply into the LCM equation.
GCF(1519,1527) = 1
LCM(1519,1527) = ( 1519 × 1527) / 1
LCM(1519,1527) = 2319513 / 1
LCM(1519,1527) = 2319513
Properties of LCM 1519 and 1527
(i) The LCM of 1527 and 1519 is associative
LCM of 1519 and 1527 = LCM of 1527 and 1519
Related Least Common Multiples of 1519
Related Least Common Multiples of 1527
Frequently Asked Questions on LCM of 1519 and 1527
1. What is the LCM of 1519 and 1527?
Answer: LCM of 1519 and 1527 is 2319513.
2. What are the Factors of 1519?
Answer: Factors of 1519 are 1, 7, 31, 49, 217, 1519. There are 6 integers that are factors of 1519. The greatest factor of 1519 is 1519.
3. What are the Factors of 1527?
Answer: Factors of 1527 are 1, 3, 509, 1527. There are 4 integers that are factors of 1527. The greatest factor of 1527 is 1527.
4. How to Find the LCM of 1519 and 1527?
Answer:
Least Common Multiple of 1519 and 1527 = 2319513
Step 1: Find the prime factorization of 1519
1519 = 7 x 7 x 31
Step 2: Find the prime factorization of 1527
1527 = 3 x 509
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2319513 = 3 x 7 x 7 x 31 x 509
Step 4: Therefore, the least common multiple of 1519 and 1527 is 2319513.