Least Common Multiple of 515 and 520

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 515 and 520 the smallest integer that is 53560 that is divisible by both numbers.

Least Common Multiple (LCM) of 515 and 520 is 53560.

LCM(515,520) = 53560

LCM of 515 and 520

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

LCM of:
and

Least Common Multiple of 515 and 520

LCM of 515 and 520 is 53560

Least common multiple can be found by multiplying the highest exponent prime factors of 515 and 520. First we will calculate the prime factors of 515 and 520.

Prime Factorization of 515


5 515
103 103
1

Prime factors of 515 are 5,103. Prime factorization of 515 in exponential form is:

515 = 51×1031

Prime Factorization of 520


2 520
2 260
2 130
5 65
13 13
1

Prime factors of 520 are 2, 5,13. Prime factorization of 520 in exponential form is:

520 = 23×51×131

Now multiplying the highest exponent prime factors to calculate the LCM of 515 and 520.

LCM(515,520) = 23×51×131×1031
LCM(515,520) = 53560

Factors of 515

List of positive integer factors of 515 that divides 515 without a remainder.

1, 5, 103, 515

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Least Common Multiple of 515 and 520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 515 and 520, than apply into the LCM equation.

GCF(515,520) = 5
LCM(515,520) = ( 515 × 520) / 5
LCM(515,520) = 267800 / 5
LCM(515,520) = 53560

Properties of LCM 515 and 520

(i) The LCM of 520 and 515 is associative

LCM of 515 and 520 = LCM of 520 and 515

Related Least Common Multiples of 515

Related Least Common Multiples of 520

Frequently Asked Questions on LCM of 515 and 520

1. What is the LCM of 515 and 520?

Answer: LCM of 515 and 520 is 53560.

2. What are the Factors of 515?

Answer: Factors of 515 are 1, 5, 103, 515. There are 4 integers that are factors of 515. The greatest factor of 515 is 515.

3. What are the Factors of 520?

Answer: Factors of 520 are 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520. There are 16 integers that are factors of 520. The greatest factor of 520 is 520.

4. How to Find the LCM of 515 and 520?

Answer:

Least Common Multiple of 515 and 520 = 53560

Step 1: Find the prime factorization of 515

515 = 5 x 103

Step 2: Find the prime factorization of 520

520 = 2 x 2 x 2 x 5 x 13

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

LCM = 53560 = 2 x 2 x 2 x 5 x 13 x 103

Step 4: Therefore, the least common multiple of 515 and 520 is 53560.