Least Common Multiple of 2508 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 2508 and 2515 the smallest integer that is 6307620 that is divisible by both numbers.

Least Common Multiple (LCM) of 2508 and 2515 is 6307620.

LCM(2508,2515) = 6307620

LCM of 2508 and 2515

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

LCM of:
and

Least Common Multiple of 2508 and 2515

LCM of 2508 and 2515 is 6307620

Least common multiple can be found by multiplying the highest exponent prime factors of 2508 and 2515. First we will calculate the prime factors of 2508 and 2515.

Prime Factorization of 2508


2 2508
2 1254
3 627
11 209
19 19
1

Prime factors of 2508 are 2, 3, 11,19. Prime factorization of 2508 in exponential form is:

2508 = 22×31×111×191

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 2508 and 2515.

LCM(2508,2515) = 22×31×51×111×191×5031
LCM(2508,2515) = 6307620

Factors of 2508

List of positive integer factors of 2508 that divides 2508 without a remainder.

1, 2, 3, 4, 6, 11, 12, 19, 22, 33, 38, 44, 57, 66, 76, 114, 132, 209, 228, 418, 627, 836, 1254, 2508

Factors of 2515

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

1, 5, 503, 2515

Least Common Multiple of 2508 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 2508 and 2515, than apply into the LCM equation.

GCF(2508,2515) = 1
LCM(2508,2515) = ( 2508 × 2515) / 1
LCM(2508,2515) = 6307620 / 1
LCM(2508,2515) = 6307620

Properties of LCM 2508 and 2515

(i) The LCM of 2515 and 2508 is associative

LCM of 2508 and 2515 = LCM of 2515 and 2508

Related Least Common Multiples of 2508

Related Least Common Multiples of 2515

Frequently Asked Questions on LCM of 2508 and 2515

1. What is the LCM of 2508 and 2515?

Answer: LCM of 2508 and 2515 is 6307620.

2. What are the Factors of 2508?

Answer: Factors of 2508 are 1, 2, 3, 4, 6, 11, 12, 19, 22, 33, 38, 44, 57, 66, 76, 114, 132, 209, 228, 418, 627, 836, 1254, 2508. There are 24 integers that are factors of 2508. The greatest factor of 2508 is 2508.

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 2508 and 2515?

Answer:

Least Common Multiple of 2508 and 2515 = 6307620

Step 1: Find the prime factorization of 2508

2508 = 2 x 2 x 3 x 11 x 19

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 = 6307620 = 2 x 2 x 3 x 5 x 11 x 19 x 503

Step 4: Therefore, the least common multiple of 2508 and 2515 is 6307620.