Least Common Multiple of 514 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 514 and 518 the smallest integer that is 133126 that is divisible by both numbers.

Least Common Multiple (LCM) of 514 and 518 is 133126.

LCM(514,518) = 133126

LCM of 514 and 518

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

LCM of:
and

Least Common Multiple of 514 and 518

LCM of 514 and 518 is 133126

Least common multiple can be found by multiplying the highest exponent prime factors of 514 and 518. First we will calculate the prime factors of 514 and 518.

Prime Factorization of 514


2 514
257 257
1

Prime factors of 514 are 2,257. Prime factorization of 514 in exponential form is:

514 = 21×2571

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 514 and 518.

LCM(514,518) = 21×71×371×2571
LCM(514,518) = 133126

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1, 2, 257, 514

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 514 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 514 and 518, than apply into the LCM equation.

GCF(514,518) = 2
LCM(514,518) = ( 514 × 518) / 2
LCM(514,518) = 266252 / 2
LCM(514,518) = 133126

Properties of LCM 514 and 518

(i) The LCM of 518 and 514 is associative

LCM of 514 and 518 = LCM of 518 and 514

Related Least Common Multiples of 514

Related Least Common Multiples of 518

Frequently Asked Questions on LCM of 514 and 518

1. What is the LCM of 514 and 518?

Answer: LCM of 514 and 518 is 133126.

2. What are the Factors of 514?

Answer: Factors of 514 are 1, 2, 257, 514. There are 4 integers that are factors of 514. The greatest factor of 514 is 514.

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 514 and 518?

Answer:

Least Common Multiple of 514 and 518 = 133126

Step 1: Find the prime factorization of 514

514 = 2 x 257

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 = 133126 = 2 x 7 x 37 x 257

Step 4: Therefore, the least common multiple of 514 and 518 is 133126.