Least Common Multiple of 536 and 539

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 536 and 539 the smallest integer that is 288904 that is divisible by both numbers.

Least Common Multiple (LCM) of 536 and 539 is 288904.

LCM(536,539) = 288904

LCM of 536 and 539

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

LCM of:
and

Least Common Multiple of 536 and 539

LCM of 536 and 539 is 288904

Least common multiple can be found by multiplying the highest exponent prime factors of 536 and 539. First we will calculate the prime factors of 536 and 539.

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

Prime Factorization of 539


7 539
7 77
11 11
1

Prime factors of 539 are 7,11. Prime factorization of 539 in exponential form is:

539 = 72×111

Now multiplying the highest exponent prime factors to calculate the LCM of 536 and 539.

LCM(536,539) = 23×72×111×671
LCM(536,539) = 288904

Factors of 536

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

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

Factors of 539

List of positive integer factors of 539 that divides 539 without a remainder.

1, 7, 11, 49, 77, 539

Least Common Multiple of 536 and 539 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 536 and 539, than apply into the LCM equation.

GCF(536,539) = 1
LCM(536,539) = ( 536 × 539) / 1
LCM(536,539) = 288904 / 1
LCM(536,539) = 288904

Properties of LCM 536 and 539

(i) The LCM of 539 and 536 is associative

LCM of 536 and 539 = LCM of 539 and 536

Related Least Common Multiples of 536

Related Least Common Multiples of 539

Frequently Asked Questions on LCM of 536 and 539

1. What is the LCM of 536 and 539?

Answer: LCM of 536 and 539 is 288904.

2. 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.

3. What are the Factors of 539?

Answer: Factors of 539 are 1, 7, 11, 49, 77, 539. There are 6 integers that are factors of 539. The greatest factor of 539 is 539.

4. How to Find the LCM of 536 and 539?

Answer:

Least Common Multiple of 536 and 539 = 288904

Step 1: Find the prime factorization of 536

536 = 2 x 2 x 2 x 67

Step 2: Find the prime factorization of 539

539 = 7 x 7 x 11

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

LCM = 288904 = 2 x 2 x 2 x 7 x 7 x 11 x 67

Step 4: Therefore, the least common multiple of 536 and 539 is 288904.