Least Common Multiple of 514 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 514 and 515 the smallest integer that is 264710 that is divisible by both numbers.

Least Common Multiple (LCM) of 514 and 515 is 264710.

LCM(514,515) = 264710

LCM of 514 and 515

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

LCM of:
and

Least Common Multiple of 514 and 515

LCM of 514 and 515 is 264710

Least common multiple can be found by multiplying the highest exponent prime factors of 514 and 515. First we will calculate the prime factors of 514 and 515.

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 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 514 and 515.

LCM(514,515) = 21×51×1031×2571
LCM(514,515) = 264710

Factors of 514

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

1, 2, 257, 514

Factors of 515

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

1, 5, 103, 515

Least Common Multiple of 514 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 514 and 515, than apply into the LCM equation.

GCF(514,515) = 1
LCM(514,515) = ( 514 × 515) / 1
LCM(514,515) = 264710 / 1
LCM(514,515) = 264710

Properties of LCM 514 and 515

(i) The LCM of 515 and 514 is associative

LCM of 514 and 515 = LCM of 515 and 514

Related Least Common Multiples of 514

Related Least Common Multiples of 515

Frequently Asked Questions on LCM of 514 and 515

1. What is the LCM of 514 and 515?

Answer: LCM of 514 and 515 is 264710.

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 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 514 and 515?

Answer:

Least Common Multiple of 514 and 515 = 264710

Step 1: Find the prime factorization of 514

514 = 2 x 257

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 = 264710 = 2 x 5 x 103 x 257

Step 4: Therefore, the least common multiple of 514 and 515 is 264710.