Least Common Multiple of 8508 and 8515

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 8515 the smallest integer that is 72445620 that is divisible by both numbers.

Least Common Multiple (LCM) of 8508 and 8515 is 72445620.

LCM(8508,8515) = 72445620

LCM of 8508 and 8515

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

LCM of:
and

Least Common Multiple of 8508 and 8515

LCM of 8508 and 8515 is 72445620

Least common multiple can be found by multiplying the highest exponent prime factors of 8508 and 8515. First we will calculate the prime factors of 8508 and 8515.

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 8515


5 8515
13 1703
131 131
1

Prime factors of 8515 are 5, 13,131. Prime factorization of 8515 in exponential form is:

8515 = 51×131×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 8508 and 8515.

LCM(8508,8515) = 22×31×51×131×1311×7091
LCM(8508,8515) = 72445620

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 8515

List of positive integer factors of 8515 that divides 8515 without a remainder.

1, 5, 13, 65, 131, 655, 1703, 8515

Least Common Multiple of 8508 and 8515 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 8515, than apply into the LCM equation.

GCF(8508,8515) = 1
LCM(8508,8515) = ( 8508 × 8515) / 1
LCM(8508,8515) = 72445620 / 1
LCM(8508,8515) = 72445620

Properties of LCM 8508 and 8515

(i) The LCM of 8515 and 8508 is associative

LCM of 8508 and 8515 = LCM of 8515 and 8508

Related Least Common Multiples of 8508

Related Least Common Multiples of 8515

Frequently Asked Questions on LCM of 8508 and 8515

1. What is the LCM of 8508 and 8515?

Answer: LCM of 8508 and 8515 is 72445620.

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 8515?

Answer: Factors of 8515 are 1, 5, 13, 65, 131, 655, 1703, 8515. There are 8 integers that are factors of 8515. The greatest factor of 8515 is 8515.

4. How to Find the LCM of 8508 and 8515?

Answer:

Least Common Multiple of 8508 and 8515 = 72445620

Step 1: Find the prime factorization of 8508

8508 = 2 x 2 x 3 x 709

Step 2: Find the prime factorization of 8515

8515 = 5 x 13 x 131

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

LCM = 72445620 = 2 x 2 x 3 x 5 x 13 x 131 x 709

Step 4: Therefore, the least common multiple of 8508 and 8515 is 72445620.