Least Common Multiple of 516 and 524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 516 and 524 the smallest integer that is 67596 that is divisible by both numbers.

Least Common Multiple (LCM) of 516 and 524 is 67596.

LCM(516,524) = 67596

LCM of 516 and 524

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

LCM of:
and

Least Common Multiple of 516 and 524

LCM of 516 and 524 is 67596

Least common multiple can be found by multiplying the highest exponent prime factors of 516 and 524. First we will calculate the prime factors of 516 and 524.

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

Prime Factorization of 524


2 524
2 262
131 131
1

Prime factors of 524 are 2,131. Prime factorization of 524 in exponential form is:

524 = 22×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 516 and 524.

LCM(516,524) = 22×31×431×1311
LCM(516,524) = 67596

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

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Least Common Multiple of 516 and 524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 516 and 524, than apply into the LCM equation.

GCF(516,524) = 4
LCM(516,524) = ( 516 × 524) / 4
LCM(516,524) = 270384 / 4
LCM(516,524) = 67596

Properties of LCM 516 and 524

(i) The LCM of 524 and 516 is associative

LCM of 516 and 524 = LCM of 524 and 516

Related Least Common Multiples of 516

Related Least Common Multiples of 524

Frequently Asked Questions on LCM of 516 and 524

1. What is the LCM of 516 and 524?

Answer: LCM of 516 and 524 is 67596.

2. 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.

3. What are the Factors of 524?

Answer: Factors of 524 are 1, 2, 4, 131, 262, 524. There are 6 integers that are factors of 524. The greatest factor of 524 is 524.

4. How to Find the LCM of 516 and 524?

Answer:

Least Common Multiple of 516 and 524 = 67596

Step 1: Find the prime factorization of 516

516 = 2 x 2 x 3 x 43

Step 2: Find the prime factorization of 524

524 = 2 x 2 x 131

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

LCM = 67596 = 2 x 2 x 3 x 43 x 131

Step 4: Therefore, the least common multiple of 516 and 524 is 67596.