Least Common Multiple of 530 and 536

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 530 and 536 the smallest integer that is 142040 that is divisible by both numbers.

Least Common Multiple (LCM) of 530 and 536 is 142040.

LCM(530,536) = 142040

LCM of 530 and 536

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

LCM of:
and

Least Common Multiple of 530 and 536

LCM of 530 and 536 is 142040

Least common multiple can be found by multiplying the highest exponent prime factors of 530 and 536. First we will calculate the prime factors of 530 and 536.

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

Prime Factorization of 536


2 536
2 268
2 134
67 67
1

Prime factors of 536 are 2,67. Prime factorization of 536 in exponential form is:

536 = 23×671

Now multiplying the highest exponent prime factors to calculate the LCM of 530 and 536.

LCM(530,536) = 23×51×531×671
LCM(530,536) = 142040

Factors of 530

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

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

Factors of 536

List of positive integer factors of 536 that divides 536 without a remainder.

1, 2, 4, 8, 67, 134, 268, 536

Least Common Multiple of 530 and 536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 530 and 536, than apply into the LCM equation.

GCF(530,536) = 2
LCM(530,536) = ( 530 × 536) / 2
LCM(530,536) = 284080 / 2
LCM(530,536) = 142040

Properties of LCM 530 and 536

(i) The LCM of 536 and 530 is associative

LCM of 530 and 536 = LCM of 536 and 530

Related Least Common Multiples of 530

Related Least Common Multiples of 536

Frequently Asked Questions on LCM of 530 and 536

1. What is the LCM of 530 and 536?

Answer: LCM of 530 and 536 is 142040.

2. 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.

3. What are the Factors of 536?

Answer: Factors of 536 are 1, 2, 4, 8, 67, 134, 268, 536. There are 8 integers that are factors of 536. The greatest factor of 536 is 536.

4. How to Find the LCM of 530 and 536?

Answer:

Least Common Multiple of 530 and 536 = 142040

Step 1: Find the prime factorization of 530

530 = 2 x 5 x 53

Step 2: Find the prime factorization of 536

536 = 2 x 2 x 2 x 67

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

LCM = 142040 = 2 x 2 x 2 x 5 x 53 x 67

Step 4: Therefore, the least common multiple of 530 and 536 is 142040.