Least Common Multiple of 2511 and 2515

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2511 and 2515 the smallest integer that is 6315165 that is divisible by both numbers.

Least Common Multiple (LCM) of 2511 and 2515 is 6315165.

LCM(2511,2515) = 6315165

LCM of 2511 and 2515

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 2511 and 2515

LCM of 2511 and 2515 is 6315165

Least common multiple can be found by multiplying the highest exponent prime factors of 2511 and 2515. First we will calculate the prime factors of 2511 and 2515.

Prime Factorization of 2511


3 2511
3 837
3 279
3 93
31 31
1

Prime factors of 2511 are 3,31. Prime factorization of 2511 in exponential form is:

2511 = 34×311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2511 and 2515.

LCM(2511,2515) = 34×51×311×5031
LCM(2511,2515) = 6315165

Factors of 2511

List of positive integer factors of 2511 that divides 2511 without a remainder.

1, 3, 9, 27, 31, 81, 93, 279, 837, 2511

Factors of 2515

List of positive integer factors of 2515 that divides 2515 without a remainder.

1, 5, 503, 2515

Least Common Multiple of 2511 and 2515 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2511 and 2515, than apply into the LCM equation.

GCF(2511,2515) = 1
LCM(2511,2515) = ( 2511 × 2515) / 1
LCM(2511,2515) = 6315165 / 1
LCM(2511,2515) = 6315165

Properties of LCM 2511 and 2515

(i) The LCM of 2515 and 2511 is associative

LCM of 2511 and 2515 = LCM of 2515 and 2511

Related Least Common Multiples of 2511

Related Least Common Multiples of 2515

Frequently Asked Questions on LCM of 2511 and 2515

1. What is the LCM of 2511 and 2515?

Answer: LCM of 2511 and 2515 is 6315165.

2. What are the Factors of 2511?

Answer: Factors of 2511 are 1, 3, 9, 27, 31, 81, 93, 279, 837, 2511. There are 10 integers that are factors of 2511. The greatest factor of 2511 is 2511.

3. 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.

4. How to Find the LCM of 2511 and 2515?

Answer:

Least Common Multiple of 2511 and 2515 = 6315165

Step 1: Find the prime factorization of 2511

2511 = 3 x 3 x 3 x 3 x 31

Step 2: Find the prime factorization of 2515

2515 = 5 x 503

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 6315165 = 3 x 3 x 3 x 3 x 5 x 31 x 503

Step 4: Therefore, the least common multiple of 2511 and 2515 is 6315165.