Least Common Multiple of 515 and 518

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 518 the smallest integer that is 266770 that is divisible by both numbers.

Least Common Multiple (LCM) of 515 and 518 is 266770.

LCM(515,518) = 266770

LCM of 515 and 518

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

LCM of:
and

Least Common Multiple of 515 and 518

LCM of 515 and 518 is 266770

Least common multiple can be found by multiplying the highest exponent prime factors of 515 and 518. First we will calculate the prime factors of 515 and 518.

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 518


2 518
7 259
37 37
1

Prime factors of 518 are 2, 7,37. Prime factorization of 518 in exponential form is:

518 = 21×71×371

Now multiplying the highest exponent prime factors to calculate the LCM of 515 and 518.

LCM(515,518) = 21×51×71×371×1031
LCM(515,518) = 266770

Factors of 515

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

1, 5, 103, 515

Factors of 518

List of positive integer factors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Least Common Multiple of 515 and 518 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 518, than apply into the LCM equation.

GCF(515,518) = 1
LCM(515,518) = ( 515 × 518) / 1
LCM(515,518) = 266770 / 1
LCM(515,518) = 266770

Properties of LCM 515 and 518

(i) The LCM of 518 and 515 is associative

LCM of 515 and 518 = LCM of 518 and 515

Related Least Common Multiples of 515

Related Least Common Multiples of 518

Frequently Asked Questions on LCM of 515 and 518

1. What is the LCM of 515 and 518?

Answer: LCM of 515 and 518 is 266770.

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 518?

Answer: Factors of 518 are 1, 2, 7, 14, 37, 74, 259, 518. There are 8 integers that are factors of 518. The greatest factor of 518 is 518.

4. How to Find the LCM of 515 and 518?

Answer:

Least Common Multiple of 515 and 518 = 266770

Step 1: Find the prime factorization of 515

515 = 5 x 103

Step 2: Find the prime factorization of 518

518 = 2 x 7 x 37

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

LCM = 266770 = 2 x 5 x 7 x 37 x 103

Step 4: Therefore, the least common multiple of 515 and 518 is 266770.