Least Common Multiple of 8515 and 8520

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8515 and 8520 the smallest integer that is 14509560 that is divisible by both numbers.

Least Common Multiple (LCM) of 8515 and 8520 is 14509560.

LCM(8515,8520) = 14509560

LCM of 8515 and 8520

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

LCM of:
and

Least Common Multiple of 8515 and 8520

LCM of 8515 and 8520 is 14509560

Least common multiple can be found by multiplying the highest exponent prime factors of 8515 and 8520. First we will calculate the prime factors of 8515 and 8520.

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

Prime Factorization of 8520


2 8520
2 4260
2 2130
3 1065
5 355
71 71
1

Prime factors of 8520 are 2, 3, 5,71. Prime factorization of 8520 in exponential form is:

8520 = 23×31×51×711

Now multiplying the highest exponent prime factors to calculate the LCM of 8515 and 8520.

LCM(8515,8520) = 23×31×51×131×711×1311
LCM(8515,8520) = 14509560

Factors of 8515

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

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

Factors of 8520

List of positive integer factors of 8520 that divides 8520 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 71, 120, 142, 213, 284, 355, 426, 568, 710, 852, 1065, 1420, 1704, 2130, 2840, 4260, 8520

Least Common Multiple of 8515 and 8520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8515 and 8520, than apply into the LCM equation.

GCF(8515,8520) = 5
LCM(8515,8520) = ( 8515 × 8520) / 5
LCM(8515,8520) = 72547800 / 5
LCM(8515,8520) = 14509560

Properties of LCM 8515 and 8520

(i) The LCM of 8520 and 8515 is associative

LCM of 8515 and 8520 = LCM of 8520 and 8515

Related Least Common Multiples of 8515

Related Least Common Multiples of 8520

Frequently Asked Questions on LCM of 8515 and 8520

1. What is the LCM of 8515 and 8520?

Answer: LCM of 8515 and 8520 is 14509560.

2. 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.

3. What are the Factors of 8520?

Answer: Factors of 8520 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 71, 120, 142, 213, 284, 355, 426, 568, 710, 852, 1065, 1420, 1704, 2130, 2840, 4260, 8520. There are 32 integers that are factors of 8520. The greatest factor of 8520 is 8520.

4. How to Find the LCM of 8515 and 8520?

Answer:

Least Common Multiple of 8515 and 8520 = 14509560

Step 1: Find the prime factorization of 8515

8515 = 5 x 13 x 131

Step 2: Find the prime factorization of 8520

8520 = 2 x 2 x 2 x 3 x 5 x 71

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

LCM = 14509560 = 2 x 2 x 2 x 3 x 5 x 13 x 71 x 131

Step 4: Therefore, the least common multiple of 8515 and 8520 is 14509560.