Least Common Multiple of 524 and 529

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 524 and 529 the smallest integer that is 277196 that is divisible by both numbers.

Least Common Multiple (LCM) of 524 and 529 is 277196.

LCM(524,529) = 277196

LCM of 524 and 529

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

LCM of:
and

Least Common Multiple of 524 and 529

LCM of 524 and 529 is 277196

Least common multiple can be found by multiplying the highest exponent prime factors of 524 and 529. First we will calculate the prime factors of 524 and 529.

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

Prime Factorization of 529


23 529
23 23
1

Prime factors of 529 are 23. Prime factorization of 529 in exponential form is:

529 = 232

Now multiplying the highest exponent prime factors to calculate the LCM of 524 and 529.

LCM(524,529) = 22×232×1311
LCM(524,529) = 277196

Factors of 524

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

1, 2, 4, 131, 262, 524

Factors of 529

List of positive integer factors of 529 that divides 529 without a remainder.

1, 23, 529

Least Common Multiple of 524 and 529 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 524 and 529, than apply into the LCM equation.

GCF(524,529) = 1
LCM(524,529) = ( 524 × 529) / 1
LCM(524,529) = 277196 / 1
LCM(524,529) = 277196

Properties of LCM 524 and 529

(i) The LCM of 529 and 524 is associative

LCM of 524 and 529 = LCM of 529 and 524

Related Least Common Multiples of 524

Related Least Common Multiples of 529

Frequently Asked Questions on LCM of 524 and 529

1. What is the LCM of 524 and 529?

Answer: LCM of 524 and 529 is 277196.

2. 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.

3. What are the Factors of 529?

Answer: Factors of 529 are 1, 23, 529. There are 3 integers that are factors of 529. The greatest factor of 529 is 529.

4. How to Find the LCM of 524 and 529?

Answer:

Least Common Multiple of 524 and 529 = 277196

Step 1: Find the prime factorization of 524

524 = 2 x 2 x 131

Step 2: Find the prime factorization of 529

529 = 23 x 23

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

LCM = 277196 = 2 x 2 x 23 x 23 x 131

Step 4: Therefore, the least common multiple of 524 and 529 is 277196.