Least Common Multiple of 508 and 510

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 510 the smallest integer that is 129540 that is divisible by both numbers.

Least Common Multiple (LCM) of 508 and 510 is 129540.

LCM(508,510) = 129540

LCM of 508 and 510

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

LCM of:
and

Least Common Multiple of 508 and 510

LCM of 508 and 510 is 129540

Least common multiple can be found by multiplying the highest exponent prime factors of 508 and 510. First we will calculate the prime factors of 508 and 510.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 508 and 510.

LCM(508,510) = 22×31×51×171×1271
LCM(508,510) = 129540

Factors of 508

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

1, 2, 4, 127, 254, 508

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

Least Common Multiple of 508 and 510 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 510, than apply into the LCM equation.

GCF(508,510) = 2
LCM(508,510) = ( 508 × 510) / 2
LCM(508,510) = 259080 / 2
LCM(508,510) = 129540

Properties of LCM 508 and 510

(i) The LCM of 510 and 508 is associative

LCM of 508 and 510 = LCM of 510 and 508

Related Least Common Multiples of 508

Related Least Common Multiples of 510

Frequently Asked Questions on LCM of 508 and 510

1. What is the LCM of 508 and 510?

Answer: LCM of 508 and 510 is 129540.

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 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.

4. How to Find the LCM of 508 and 510?

Answer:

Least Common Multiple of 508 and 510 = 129540

Step 1: Find the prime factorization of 508

508 = 2 x 2 x 127

Step 2: Find the prime factorization of 510

510 = 2 x 3 x 5 x 17

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

LCM = 129540 = 2 x 2 x 3 x 5 x 17 x 127

Step 4: Therefore, the least common multiple of 508 and 510 is 129540.