Least Common Multiple of 1515 and 1519
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1515 and 1519 the smallest integer that is 2301285 that is divisible by both numbers.
Least Common Multiple (LCM) of 1515 and 1519 is 2301285.
LCM(1515,1519) = 2301285
LCM of 1515 and 1519
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1515 and 1519 by Prime method
- Least Common Multiple of 1515 and 1519 with GCF Formula
LCM of 1515 and 1519 is 2301285
Least common multiple can be found by multiplying the highest exponent prime factors of 1515 and 1519. First we will calculate the prime factors of 1515 and 1519.
Prime Factorization of 1515
| 3 | 1515 |
| 5 | 505 |
| 101 | 101 |
| 1 |
Prime factors of 1515 are 3, 5,101. Prime factorization of 1515 in exponential form is:
1515 = 31×51×1011
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
Now multiplying the highest exponent prime factors to calculate the LCM of 1515 and 1519.
LCM(1515,1519) = 31×51×72×311×1011
LCM(1515,1519) = 2301285
Factors of 1515
List of positive integer factors of 1515 that divides 1515 without a remainder.
1, 3, 5, 15, 101, 303, 505, 1515
Factors of 1519
List of positive integer factors of 1519 that divides 1519 without a remainder.
1, 7, 31, 49, 217, 1519
Least Common Multiple of 1515 and 1519 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1515 and 1519, than apply into the LCM equation.
GCF(1515,1519) = 1
LCM(1515,1519) = ( 1515 × 1519) / 1
LCM(1515,1519) = 2301285 / 1
LCM(1515,1519) = 2301285
Properties of LCM 1515 and 1519
(i) The LCM of 1519 and 1515 is associative
LCM of 1515 and 1519 = LCM of 1519 and 1515
Related Least Common Multiples of 1515
Related Least Common Multiples of 1519
Frequently Asked Questions on LCM of 1515 and 1519
1. What is the LCM of 1515 and 1519?
Answer: LCM of 1515 and 1519 is 2301285.
2. What are the Factors of 1515?
Answer: Factors of 1515 are 1, 3, 5, 15, 101, 303, 505, 1515. There are 8 integers that are factors of 1515. The greatest factor of 1515 is 1515.
3. 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.
4. How to Find the LCM of 1515 and 1519?
Answer:
Least Common Multiple of 1515 and 1519 = 2301285
Step 1: Find the prime factorization of 1515
1515 = 3 x 5 x 101
Step 2: Find the prime factorization of 1519
1519 = 7 x 7 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2301285 = 3 x 5 x 7 x 7 x 31 x 101
Step 4: Therefore, the least common multiple of 1515 and 1519 is 2301285.