Least Common Multiple of 539 and 544

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 539 and 544 the smallest integer that is 293216 that is divisible by both numbers.

Least Common Multiple (LCM) of 539 and 544 is 293216.

LCM(539,544) = 293216

LCM of 539 and 544

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

LCM of:
and

Least Common Multiple of 539 and 544

LCM of 539 and 544 is 293216

Least common multiple can be found by multiplying the highest exponent prime factors of 539 and 544. First we will calculate the prime factors of 539 and 544.

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

Prime Factorization of 544


2 544
2 272
2 136
2 68
2 34
17 17
1

Prime factors of 544 are 2,17. Prime factorization of 544 in exponential form is:

544 = 25×171

Now multiplying the highest exponent prime factors to calculate the LCM of 539 and 544.

LCM(539,544) = 25×72×111×171
LCM(539,544) = 293216

Factors of 539

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

1, 7, 11, 49, 77, 539

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Least Common Multiple of 539 and 544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 539 and 544, than apply into the LCM equation.

GCF(539,544) = 1
LCM(539,544) = ( 539 × 544) / 1
LCM(539,544) = 293216 / 1
LCM(539,544) = 293216

Properties of LCM 539 and 544

(i) The LCM of 544 and 539 is associative

LCM of 539 and 544 = LCM of 544 and 539

Related Least Common Multiples of 539

Related Least Common Multiples of 544

Frequently Asked Questions on LCM of 539 and 544

1. What is the LCM of 539 and 544?

Answer: LCM of 539 and 544 is 293216.

2. 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.

3. What are the Factors of 544?

Answer: Factors of 544 are 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544. There are 12 integers that are factors of 544. The greatest factor of 544 is 544.

4. How to Find the LCM of 539 and 544?

Answer:

Least Common Multiple of 539 and 544 = 293216

Step 1: Find the prime factorization of 539

539 = 7 x 7 x 11

Step 2: Find the prime factorization of 544

544 = 2 x 2 x 2 x 2 x 2 x 17

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

LCM = 293216 = 2 x 2 x 2 x 2 x 2 x 7 x 7 x 11 x 17

Step 4: Therefore, the least common multiple of 539 and 544 is 293216.