Least Common Multiple of 535 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 535 and 539 the smallest integer that is 288365 that is divisible by both numbers.

Least Common Multiple (LCM) of 535 and 539 is 288365.

LCM(535,539) = 288365

LCM of 535 and 539

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

LCM of:
and

Least Common Multiple of 535 and 539

LCM of 535 and 539 is 288365

Least common multiple can be found by multiplying the highest exponent prime factors of 535 and 539. First we will calculate the prime factors of 535 and 539.

Prime Factorization of 535


5 535
107 107
1

Prime factors of 535 are 5,107. Prime factorization of 535 in exponential form is:

535 = 51×1071

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 535 and 539.

LCM(535,539) = 51×72×111×1071
LCM(535,539) = 288365

Factors of 535

List of positive integer factors of 535 that divides 535 without a remainder.

1, 5, 107, 535

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 535 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 535 and 539, than apply into the LCM equation.

GCF(535,539) = 1
LCM(535,539) = ( 535 × 539) / 1
LCM(535,539) = 288365 / 1
LCM(535,539) = 288365

Properties of LCM 535 and 539

(i) The LCM of 539 and 535 is associative

LCM of 535 and 539 = LCM of 539 and 535

Related Least Common Multiples of 535

Related Least Common Multiples of 539

Frequently Asked Questions on LCM of 535 and 539

1. What is the LCM of 535 and 539?

Answer: LCM of 535 and 539 is 288365.

2. What are the Factors of 535?

Answer: Factors of 535 are 1, 5, 107, 535. There are 4 integers that are factors of 535. The greatest factor of 535 is 535.

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 535 and 539?

Answer:

Least Common Multiple of 535 and 539 = 288365

Step 1: Find the prime factorization of 535

535 = 5 x 107

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 = 288365 = 5 x 7 x 7 x 11 x 107

Step 4: Therefore, the least common multiple of 535 and 539 is 288365.