Least Common Multiple of 8508 and 8514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8508 and 8514 the smallest integer that is 12072852 that is divisible by both numbers.

Least Common Multiple (LCM) of 8508 and 8514 is 12072852.

LCM(8508,8514) = 12072852

LCM of 8508 and 8514

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

LCM of:
and

Least Common Multiple of 8508 and 8514

LCM of 8508 and 8514 is 12072852

Least common multiple can be found by multiplying the highest exponent prime factors of 8508 and 8514. First we will calculate the prime factors of 8508 and 8514.

Prime Factorization of 8508


2 8508
2 4254
3 2127
709 709
1

Prime factors of 8508 are 2, 3,709. Prime factorization of 8508 in exponential form is:

8508 = 22×31×7091

Prime Factorization of 8514


2 8514
3 4257
3 1419
11 473
43 43
1

Prime factors of 8514 are 2, 3, 11,43. Prime factorization of 8514 in exponential form is:

8514 = 21×32×111×431

Now multiplying the highest exponent prime factors to calculate the LCM of 8508 and 8514.

LCM(8508,8514) = 22×32×111×431×7091
LCM(8508,8514) = 12072852

Factors of 8508

List of positive integer factors of 8508 that divides 8508 without a remainder.

1, 2, 3, 4, 6, 12, 709, 1418, 2127, 2836, 4254, 8508

Factors of 8514

List of positive integer factors of 8514 that divides 8514 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 43, 66, 86, 99, 129, 198, 258, 387, 473, 774, 946, 1419, 2838, 4257, 8514

Least Common Multiple of 8508 and 8514 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8508 and 8514, than apply into the LCM equation.

GCF(8508,8514) = 6
LCM(8508,8514) = ( 8508 × 8514) / 6
LCM(8508,8514) = 72437112 / 6
LCM(8508,8514) = 12072852

Properties of LCM 8508 and 8514

(i) The LCM of 8514 and 8508 is associative

LCM of 8508 and 8514 = LCM of 8514 and 8508

Related Least Common Multiples of 8508

Related Least Common Multiples of 8514

Frequently Asked Questions on LCM of 8508 and 8514

1. What is the LCM of 8508 and 8514?

Answer: LCM of 8508 and 8514 is 12072852.

2. What are the Factors of 8508?

Answer: Factors of 8508 are 1, 2, 3, 4, 6, 12, 709, 1418, 2127, 2836, 4254, 8508. There are 12 integers that are factors of 8508. The greatest factor of 8508 is 8508.

3. What are the Factors of 8514?

Answer: Factors of 8514 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 43, 66, 86, 99, 129, 198, 258, 387, 473, 774, 946, 1419, 2838, 4257, 8514. There are 24 integers that are factors of 8514. The greatest factor of 8514 is 8514.

4. How to Find the LCM of 8508 and 8514?

Answer:

Least Common Multiple of 8508 and 8514 = 12072852

Step 1: Find the prime factorization of 8508

8508 = 2 x 2 x 3 x 709

Step 2: Find the prime factorization of 8514

8514 = 2 x 3 x 3 x 11 x 43

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

LCM = 12072852 = 2 x 2 x 3 x 3 x 11 x 43 x 709

Step 4: Therefore, the least common multiple of 8508 and 8514 is 12072852.