Least Common Multiple of 508 and 516

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 516 the smallest integer that is 65532 that is divisible by both numbers.

Least Common Multiple (LCM) of 508 and 516 is 65532.

LCM(508,516) = 65532

LCM of 508 and 516

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

LCM of:
and

Least Common Multiple of 508 and 516

LCM of 508 and 516 is 65532

Least common multiple can be found by multiplying the highest exponent prime factors of 508 and 516. First we will calculate the prime factors of 508 and 516.

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 516


2 516
2 258
3 129
43 43
1

Prime factors of 516 are 2, 3,43. Prime factorization of 516 in exponential form is:

516 = 22×31×431

Now multiplying the highest exponent prime factors to calculate the LCM of 508 and 516.

LCM(508,516) = 22×31×431×1271
LCM(508,516) = 65532

Factors of 508

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

1, 2, 4, 127, 254, 508

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Least Common Multiple of 508 and 516 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 516, than apply into the LCM equation.

GCF(508,516) = 4
LCM(508,516) = ( 508 × 516) / 4
LCM(508,516) = 262128 / 4
LCM(508,516) = 65532

Properties of LCM 508 and 516

(i) The LCM of 516 and 508 is associative

LCM of 508 and 516 = LCM of 516 and 508

Related Least Common Multiples of 508

Related Least Common Multiples of 516

Frequently Asked Questions on LCM of 508 and 516

1. What is the LCM of 508 and 516?

Answer: LCM of 508 and 516 is 65532.

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 516?

Answer: Factors of 516 are 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516. There are 12 integers that are factors of 516. The greatest factor of 516 is 516.

4. How to Find the LCM of 508 and 516?

Answer:

Least Common Multiple of 508 and 516 = 65532

Step 1: Find the prime factorization of 508

508 = 2 x 2 x 127

Step 2: Find the prime factorization of 516

516 = 2 x 2 x 3 x 43

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

LCM = 65532 = 2 x 2 x 3 x 43 x 127

Step 4: Therefore, the least common multiple of 508 and 516 is 65532.