Least Common Multiple of 508 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 508 and 515 the smallest integer that is 261620 that is divisible by both numbers.

Least Common Multiple (LCM) of 508 and 515 is 261620.

LCM(508,515) = 261620

LCM of 508 and 515

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

LCM of:
and

Least Common Multiple of 508 and 515

LCM of 508 and 515 is 261620

Least common multiple can be found by multiplying the highest exponent prime factors of 508 and 515. First we will calculate the prime factors of 508 and 515.

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 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 508 and 515.

LCM(508,515) = 22×51×1031×1271
LCM(508,515) = 261620

Factors of 508

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

1, 2, 4, 127, 254, 508

Factors of 515

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

1, 5, 103, 515

Least Common Multiple of 508 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 508 and 515, than apply into the LCM equation.

GCF(508,515) = 1
LCM(508,515) = ( 508 × 515) / 1
LCM(508,515) = 261620 / 1
LCM(508,515) = 261620

Properties of LCM 508 and 515

(i) The LCM of 515 and 508 is associative

LCM of 508 and 515 = LCM of 515 and 508

Related Least Common Multiples of 508

Related Least Common Multiples of 515

Frequently Asked Questions on LCM of 508 and 515

1. What is the LCM of 508 and 515?

Answer: LCM of 508 and 515 is 261620.

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 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 508 and 515?

Answer:

Least Common Multiple of 508 and 515 = 261620

Step 1: Find the prime factorization of 508

508 = 2 x 2 x 127

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 = 261620 = 2 x 2 x 5 x 103 x 127

Step 4: Therefore, the least common multiple of 508 and 515 is 261620.