Least Common Multiple of 2508 and 2514

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 2514 the smallest integer that is 1050852 that is divisible by both numbers.

Least Common Multiple (LCM) of 2508 and 2514 is 1050852.

LCM(2508,2514) = 1050852

LCM of 2508 and 2514

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

LCM of:
and

Least Common Multiple of 2508 and 2514

LCM of 2508 and 2514 is 1050852

Least common multiple can be found by multiplying the highest exponent prime factors of 2508 and 2514. First we will calculate the prime factors of 2508 and 2514.

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 2514


2 2514
3 1257
419 419
1

Prime factors of 2514 are 2, 3,419. Prime factorization of 2514 in exponential form is:

2514 = 21×31×4191

Now multiplying the highest exponent prime factors to calculate the LCM of 2508 and 2514.

LCM(2508,2514) = 22×31×111×191×4191
LCM(2508,2514) = 1050852

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 2514

List of positive integer factors of 2514 that divides 2514 without a remainder.

1, 2, 3, 6, 419, 838, 1257, 2514

Least Common Multiple of 2508 and 2514 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 2514, than apply into the LCM equation.

GCF(2508,2514) = 6
LCM(2508,2514) = ( 2508 × 2514) / 6
LCM(2508,2514) = 6305112 / 6
LCM(2508,2514) = 1050852

Properties of LCM 2508 and 2514

(i) The LCM of 2514 and 2508 is associative

LCM of 2508 and 2514 = LCM of 2514 and 2508

Related Least Common Multiples of 2508

Related Least Common Multiples of 2514

Frequently Asked Questions on LCM of 2508 and 2514

1. What is the LCM of 2508 and 2514?

Answer: LCM of 2508 and 2514 is 1050852.

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 2514?

Answer: Factors of 2514 are 1, 2, 3, 6, 419, 838, 1257, 2514. There are 8 integers that are factors of 2514. The greatest factor of 2514 is 2514.

4. How to Find the LCM of 2508 and 2514?

Answer:

Least Common Multiple of 2508 and 2514 = 1050852

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 2514

2514 = 2 x 3 x 419

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

LCM = 1050852 = 2 x 2 x 3 x 11 x 19 x 419

Step 4: Therefore, the least common multiple of 2508 and 2514 is 1050852.