Least Common Multiple of 527 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 527 and 532 the smallest integer that is 280364 that is divisible by both numbers.

Least Common Multiple (LCM) of 527 and 532 is 280364.

LCM(527,532) = 280364

LCM of 527 and 532

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

LCM of:
and

Least Common Multiple of 527 and 532

LCM of 527 and 532 is 280364

Least common multiple can be found by multiplying the highest exponent prime factors of 527 and 532. First we will calculate the prime factors of 527 and 532.

Prime Factorization of 527


17 527
31 31
1

Prime factors of 527 are 17,31. Prime factorization of 527 in exponential form is:

527 = 171×311

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 527 and 532.

LCM(527,532) = 22×71×171×191×311
LCM(527,532) = 280364

Factors of 527

List of positive integer factors of 527 that divides 527 without a remainder.

1, 17, 31, 527

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 527 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 527 and 532, than apply into the LCM equation.

GCF(527,532) = 1
LCM(527,532) = ( 527 × 532) / 1
LCM(527,532) = 280364 / 1
LCM(527,532) = 280364

Properties of LCM 527 and 532

(i) The LCM of 532 and 527 is associative

LCM of 527 and 532 = LCM of 532 and 527

Related Least Common Multiples of 527

Related Least Common Multiples of 532

Frequently Asked Questions on LCM of 527 and 532

1. What is the LCM of 527 and 532?

Answer: LCM of 527 and 532 is 280364.

2. What are the Factors of 527?

Answer: Factors of 527 are 1, 17, 31, 527. There are 4 integers that are factors of 527. The greatest factor of 527 is 527.

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 527 and 532?

Answer:

Least Common Multiple of 527 and 532 = 280364

Step 1: Find the prime factorization of 527

527 = 17 x 31

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 = 280364 = 2 x 2 x 7 x 17 x 19 x 31

Step 4: Therefore, the least common multiple of 527 and 532 is 280364.