Least Common Multiple of 526 and 530

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 530 the smallest integer that is 139390 that is divisible by both numbers.

Least Common Multiple (LCM) of 526 and 530 is 139390.

LCM(526,530) = 139390

LCM of 526 and 530

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

LCM of:
and

Least Common Multiple of 526 and 530

LCM of 526 and 530 is 139390

Least common multiple can be found by multiplying the highest exponent prime factors of 526 and 530. First we will calculate the prime factors of 526 and 530.

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 530


2 530
5 265
53 53
1

Prime factors of 530 are 2, 5,53. Prime factorization of 530 in exponential form is:

530 = 21×51×531

Now multiplying the highest exponent prime factors to calculate the LCM of 526 and 530.

LCM(526,530) = 21×51×531×2631
LCM(526,530) = 139390

Factors of 526

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

1, 2, 263, 526

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1, 2, 5, 10, 53, 106, 265, 530

Least Common Multiple of 526 and 530 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 530, than apply into the LCM equation.

GCF(526,530) = 2
LCM(526,530) = ( 526 × 530) / 2
LCM(526,530) = 278780 / 2
LCM(526,530) = 139390

Properties of LCM 526 and 530

(i) The LCM of 530 and 526 is associative

LCM of 526 and 530 = LCM of 530 and 526

Related Least Common Multiples of 526

Related Least Common Multiples of 530

Frequently Asked Questions on LCM of 526 and 530

1. What is the LCM of 526 and 530?

Answer: LCM of 526 and 530 is 139390.

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 530?

Answer: Factors of 530 are 1, 2, 5, 10, 53, 106, 265, 530. There are 8 integers that are factors of 530. The greatest factor of 530 is 530.

4. How to Find the LCM of 526 and 530?

Answer:

Least Common Multiple of 526 and 530 = 139390

Step 1: Find the prime factorization of 526

526 = 2 x 263

Step 2: Find the prime factorization of 530

530 = 2 x 5 x 53

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

LCM = 139390 = 2 x 5 x 53 x 263

Step 4: Therefore, the least common multiple of 526 and 530 is 139390.