Least Common Multiple of 529 and 532

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 529 and 532 the smallest integer that is 281428 that is divisible by both numbers.

Least Common Multiple (LCM) of 529 and 532 is 281428.

LCM(529,532) = 281428

LCM of 529 and 532

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

LCM of:
and

Least Common Multiple of 529 and 532

LCM of 529 and 532 is 281428

Least common multiple can be found by multiplying the highest exponent prime factors of 529 and 532. First we will calculate the prime factors of 529 and 532.

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

Prime Factorization of 532


2 532
2 266
7 133
19 19
1

Prime factors of 532 are 2, 7,19. Prime factorization of 532 in exponential form is:

532 = 22×71×191

Now multiplying the highest exponent prime factors to calculate the LCM of 529 and 532.

LCM(529,532) = 22×71×191×232
LCM(529,532) = 281428

Factors of 529

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

1, 23, 529

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Least Common Multiple of 529 and 532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 529 and 532, than apply into the LCM equation.

GCF(529,532) = 1
LCM(529,532) = ( 529 × 532) / 1
LCM(529,532) = 281428 / 1
LCM(529,532) = 281428

Properties of LCM 529 and 532

(i) The LCM of 532 and 529 is associative

LCM of 529 and 532 = LCM of 532 and 529

Related Least Common Multiples of 529

Related Least Common Multiples of 532

Frequently Asked Questions on LCM of 529 and 532

1. What is the LCM of 529 and 532?

Answer: LCM of 529 and 532 is 281428.

2. 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.

3. What are the Factors of 532?

Answer: Factors of 532 are 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532. There are 12 integers that are factors of 532. The greatest factor of 532 is 532.

4. How to Find the LCM of 529 and 532?

Answer:

Least Common Multiple of 529 and 532 = 281428

Step 1: Find the prime factorization of 529

529 = 23 x 23

Step 2: Find the prime factorization of 532

532 = 2 x 2 x 7 x 19

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

LCM = 281428 = 2 x 2 x 7 x 19 x 23 x 23

Step 4: Therefore, the least common multiple of 529 and 532 is 281428.