Least Common Multiple of 537 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 537 and 539 the smallest integer that is 289443 that is divisible by both numbers.

Least Common Multiple (LCM) of 537 and 539 is 289443.

LCM(537,539) = 289443

LCM of 537 and 539

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

LCM of:
and

Least Common Multiple of 537 and 539

LCM of 537 and 539 is 289443

Least common multiple can be found by multiplying the highest exponent prime factors of 537 and 539. First we will calculate the prime factors of 537 and 539.

Prime Factorization of 537


3 537
179 179
1

Prime factors of 537 are 3,179. Prime factorization of 537 in exponential form is:

537 = 31×1791

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 537 and 539.

LCM(537,539) = 31×72×111×1791
LCM(537,539) = 289443

Factors of 537

List of positive integer factors of 537 that divides 537 without a remainder.

1, 3, 179, 537

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 537 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 537 and 539, than apply into the LCM equation.

GCF(537,539) = 1
LCM(537,539) = ( 537 × 539) / 1
LCM(537,539) = 289443 / 1
LCM(537,539) = 289443

Properties of LCM 537 and 539

(i) The LCM of 539 and 537 is associative

LCM of 537 and 539 = LCM of 539 and 537

Related Least Common Multiples of 537

Related Least Common Multiples of 539

Frequently Asked Questions on LCM of 537 and 539

1. What is the LCM of 537 and 539?

Answer: LCM of 537 and 539 is 289443.

2. What are the Factors of 537?

Answer: Factors of 537 are 1, 3, 179, 537. There are 4 integers that are factors of 537. The greatest factor of 537 is 537.

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 537 and 539?

Answer:

Least Common Multiple of 537 and 539 = 289443

Step 1: Find the prime factorization of 537

537 = 3 x 179

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 = 289443 = 3 x 7 x 7 x 11 x 179

Step 4: Therefore, the least common multiple of 537 and 539 is 289443.