Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2515 and 2519 the smallest integer that is 6335285 that is divisible by both numbers.
Least Common Multiple (LCM) of 2515 and 2519 is 6335285.
LCM(2515,2519) = 6335285
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 2515 and 2519. First we will calculate the prime factors of 2515 and 2519.
Prime Factorization of 2515
5 | 2515 |
503 | 503 |
1 |
Prime factors of 2515 are 5,503. Prime factorization of 2515 in exponential form is:
2515 = 51×5031
Prime Factorization of 2519
11 | 2519 |
229 | 229 |
1 |
Prime factors of 2519 are 11,229. Prime factorization of 2519 in exponential form is:
2519 = 111×2291
Now multiplying the highest exponent prime factors to calculate the LCM of 2515 and 2519.
LCM(2515,2519) = 51×111×2291×5031
LCM(2515,2519) = 6335285
Factors of 2515
List of positive integer factors of 2515 that divides 2515 without a remainder.
1, 5, 503, 2515
Factors of 2519
List of positive integer factors of 2519 that divides 2519 without a remainder.
1, 11, 229, 2519
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2515 and 2519, than apply into the LCM equation.
GCF(2515,2519) = 1
LCM(2515,2519) = ( 2515 × 2519) / 1
LCM(2515,2519) = 6335285 / 1
LCM(2515,2519) = 6335285
(i) The LCM of 2519 and 2515 is associative
LCM of 2515 and 2519 = LCM of 2519 and 2515
1. What is the LCM of 2515 and 2519?
Answer: LCM of 2515 and 2519 is 6335285.
2. What are the Factors of 2515?
Answer: Factors of 2515 are 1, 5, 503, 2515. There are 4 integers that are factors of 2515. The greatest factor of 2515 is 2515.
3. What are the Factors of 2519?
Answer: Factors of 2519 are 1, 11, 229, 2519. There are 4 integers that are factors of 2519. The greatest factor of 2519 is 2519.
4. How to Find the LCM of 2515 and 2519?
Answer:
Least Common Multiple of 2515 and 2519 = 6335285
Step 1: Find the prime factorization of 2515
2515 = 5 x 503
Step 2: Find the prime factorization of 2519
2519 = 11 x 229
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6335285 = 5 x 11 x 229 x 503
Step 4: Therefore, the least common multiple of 2515 and 2519 is 6335285.