Least Common Multiple of 508 and 514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 508 and 514 the smallest integer that is 130556 that is divisible by both numbers.

Least Common Multiple (LCM) of 508 and 514 is 130556.

LCM(508,514) = 130556

LCM of 508 and 514

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

LCM of:
and

Least Common Multiple of 508 and 514

LCM of 508 and 514 is 130556

Least common multiple can be found by multiplying the highest exponent prime factors of 508 and 514. First we will calculate the prime factors of 508 and 514.

Prime Factorization of 508


2 508
2 254
127 127
1

Prime factors of 508 are 2,127. Prime factorization of 508 in exponential form is:

508 = 22×1271

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

Now multiplying the highest exponent prime factors to calculate the LCM of 508 and 514.

LCM(508,514) = 22×1271×2571
LCM(508,514) = 130556

Factors of 508

List of positive integer factors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Factors of 514

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

1, 2, 257, 514

Least Common Multiple of 508 and 514 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 508 and 514, than apply into the LCM equation.

GCF(508,514) = 2
LCM(508,514) = ( 508 × 514) / 2
LCM(508,514) = 261112 / 2
LCM(508,514) = 130556

Properties of LCM 508 and 514

(i) The LCM of 514 and 508 is associative

LCM of 508 and 514 = LCM of 514 and 508

Related Least Common Multiples of 508

Related Least Common Multiples of 514

Frequently Asked Questions on LCM of 508 and 514

1. What is the LCM of 508 and 514?

Answer: LCM of 508 and 514 is 130556.

2. What are the Factors of 508?

Answer: Factors of 508 are 1, 2, 4, 127, 254, 508. There are 6 integers that are factors of 508. The greatest factor of 508 is 508.

3. 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.

4. How to Find the LCM of 508 and 514?

Answer:

Least Common Multiple of 508 and 514 = 130556

Step 1: Find the prime factorization of 508

508 = 2 x 2 x 127

Step 2: Find the prime factorization of 514

514 = 2 x 257

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

LCM = 130556 = 2 x 2 x 127 x 257

Step 4: Therefore, the least common multiple of 508 and 514 is 130556.