Least Common Multiple of 526 and 531

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 531 the smallest integer that is 279306 that is divisible by both numbers.

Least Common Multiple (LCM) of 526 and 531 is 279306.

LCM(526,531) = 279306

LCM of 526 and 531

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

LCM of:
and

Least Common Multiple of 526 and 531

LCM of 526 and 531 is 279306

Least common multiple can be found by multiplying the highest exponent prime factors of 526 and 531. First we will calculate the prime factors of 526 and 531.

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 531


3 531
3 177
59 59
1

Prime factors of 531 are 3,59. Prime factorization of 531 in exponential form is:

531 = 32×591

Now multiplying the highest exponent prime factors to calculate the LCM of 526 and 531.

LCM(526,531) = 21×32×591×2631
LCM(526,531) = 279306

Factors of 526

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

1, 2, 263, 526

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1, 3, 9, 59, 177, 531

Least Common Multiple of 526 and 531 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 531, than apply into the LCM equation.

GCF(526,531) = 1
LCM(526,531) = ( 526 × 531) / 1
LCM(526,531) = 279306 / 1
LCM(526,531) = 279306

Properties of LCM 526 and 531

(i) The LCM of 531 and 526 is associative

LCM of 526 and 531 = LCM of 531 and 526

Related Least Common Multiples of 526

Related Least Common Multiples of 531

Frequently Asked Questions on LCM of 526 and 531

1. What is the LCM of 526 and 531?

Answer: LCM of 526 and 531 is 279306.

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 531?

Answer: Factors of 531 are 1, 3, 9, 59, 177, 531. There are 6 integers that are factors of 531. The greatest factor of 531 is 531.

4. How to Find the LCM of 526 and 531?

Answer:

Least Common Multiple of 526 and 531 = 279306

Step 1: Find the prime factorization of 526

526 = 2 x 263

Step 2: Find the prime factorization of 531

531 = 3 x 3 x 59

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

LCM = 279306 = 2 x 3 x 3 x 59 x 263

Step 4: Therefore, the least common multiple of 526 and 531 is 279306.