Least Common Multiple of 510 and 515

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 510 and 515 the smallest integer that is 52530 that is divisible by both numbers.

Least Common Multiple (LCM) of 510 and 515 is 52530.

LCM(510,515) = 52530

LCM of 510 and 515

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

LCM of:
and

Least Common Multiple of 510 and 515

LCM of 510 and 515 is 52530

Least common multiple can be found by multiplying the highest exponent prime factors of 510 and 515. First we will calculate the prime factors of 510 and 515.

Prime Factorization of 510


2 510
3 255
5 85
17 17
1

Prime factors of 510 are 2, 3, 5,17. Prime factorization of 510 in exponential form is:

510 = 21×31×51×171

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

Now multiplying the highest exponent prime factors to calculate the LCM of 510 and 515.

LCM(510,515) = 21×31×51×171×1031
LCM(510,515) = 52530

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Factors of 515

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

1, 5, 103, 515

Least Common Multiple of 510 and 515 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 510 and 515, than apply into the LCM equation.

GCF(510,515) = 5
LCM(510,515) = ( 510 × 515) / 5
LCM(510,515) = 262650 / 5
LCM(510,515) = 52530

Properties of LCM 510 and 515

(i) The LCM of 515 and 510 is associative

LCM of 510 and 515 = LCM of 515 and 510

Related Least Common Multiples of 510

Related Least Common Multiples of 515

Frequently Asked Questions on LCM of 510 and 515

1. What is the LCM of 510 and 515?

Answer: LCM of 510 and 515 is 52530.

2. What are the Factors of 510?

Answer: Factors of 510 are 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510. There are 16 integers that are factors of 510. The greatest factor of 510 is 510.

3. 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.

4. How to Find the LCM of 510 and 515?

Answer:

Least Common Multiple of 510 and 515 = 52530

Step 1: Find the prime factorization of 510

510 = 2 x 3 x 5 x 17

Step 2: Find the prime factorization of 515

515 = 5 x 103

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

LCM = 52530 = 2 x 3 x 5 x 17 x 103

Step 4: Therefore, the least common multiple of 510 and 515 is 52530.