Least Common Multiple of 526 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 526 and 532 the smallest integer that is 139916 that is divisible by both numbers.

Least Common Multiple (LCM) of 526 and 532 is 139916.

LCM(526,532) = 139916

LCM of 526 and 532

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

LCM of:
and

Least Common Multiple of 526 and 532

LCM of 526 and 532 is 139916

Least common multiple can be found by multiplying the highest exponent prime factors of 526 and 532. First we will calculate the prime factors of 526 and 532.

Prime Factorization of 526


2 526
263 263
1

Prime factors of 526 are 2,263. Prime factorization of 526 in exponential form is:

526 = 21×2631

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 526 and 532.

LCM(526,532) = 22×71×191×2631
LCM(526,532) = 139916

Factors of 526

List of positive integer factors of 526 that divides 526 without a remainder.

1, 2, 263, 526

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 526 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 526 and 532, than apply into the LCM equation.

GCF(526,532) = 2
LCM(526,532) = ( 526 × 532) / 2
LCM(526,532) = 279832 / 2
LCM(526,532) = 139916

Properties of LCM 526 and 532

(i) The LCM of 532 and 526 is associative

LCM of 526 and 532 = LCM of 532 and 526

Related Least Common Multiples of 526

Related Least Common Multiples of 532

Frequently Asked Questions on LCM of 526 and 532

1. What is the LCM of 526 and 532?

Answer: LCM of 526 and 532 is 139916.

2. What are the Factors of 526?

Answer: Factors of 526 are 1, 2, 263, 526. There are 4 integers that are factors of 526. The greatest factor of 526 is 526.

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 526 and 532?

Answer:

Least Common Multiple of 526 and 532 = 139916

Step 1: Find the prime factorization of 526

526 = 2 x 263

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 = 139916 = 2 x 2 x 7 x 19 x 263

Step 4: Therefore, the least common multiple of 526 and 532 is 139916.