Least Common Multiple of 1535 and 1539

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1535 and 1539 the smallest integer that is 2362365 that is divisible by both numbers.

Least Common Multiple (LCM) of 1535 and 1539 is 2362365.

LCM(1535,1539) = 2362365

LCM of 1535 and 1539

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

LCM of:
and

Least Common Multiple of 1535 and 1539

LCM of 1535 and 1539 is 2362365

Least common multiple can be found by multiplying the highest exponent prime factors of 1535 and 1539. First we will calculate the prime factors of 1535 and 1539.

Prime Factorization of 1535


5 1535
307 307
1

Prime factors of 1535 are 5,307. Prime factorization of 1535 in exponential form is:

1535 = 51×3071

Prime Factorization of 1539


3 1539
3 513
3 171
3 57
19 19
1

Prime factors of 1539 are 3,19. Prime factorization of 1539 in exponential form is:

1539 = 34×191

Now multiplying the highest exponent prime factors to calculate the LCM of 1535 and 1539.

LCM(1535,1539) = 34×51×191×3071
LCM(1535,1539) = 2362365

Factors of 1535

List of positive integer factors of 1535 that divides 1535 without a remainder.

1, 5, 307, 1535

Factors of 1539

List of positive integer factors of 1539 that divides 1539 without a remainder.

1, 3, 9, 19, 27, 57, 81, 171, 513, 1539

Least Common Multiple of 1535 and 1539 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1535 and 1539, than apply into the LCM equation.

GCF(1535,1539) = 1
LCM(1535,1539) = ( 1535 × 1539) / 1
LCM(1535,1539) = 2362365 / 1
LCM(1535,1539) = 2362365

Properties of LCM 1535 and 1539

(i) The LCM of 1539 and 1535 is associative

LCM of 1535 and 1539 = LCM of 1539 and 1535

Related Least Common Multiples of 1535

Related Least Common Multiples of 1539

Frequently Asked Questions on LCM of 1535 and 1539

1. What is the LCM of 1535 and 1539?

Answer: LCM of 1535 and 1539 is 2362365.

2. What are the Factors of 1535?

Answer: Factors of 1535 are 1, 5, 307, 1535. There are 4 integers that are factors of 1535. The greatest factor of 1535 is 1535.

3. What are the Factors of 1539?

Answer: Factors of 1539 are 1, 3, 9, 19, 27, 57, 81, 171, 513, 1539. There are 10 integers that are factors of 1539. The greatest factor of 1539 is 1539.

4. How to Find the LCM of 1535 and 1539?

Answer:

Least Common Multiple of 1535 and 1539 = 2362365

Step 1: Find the prime factorization of 1535

1535 = 5 x 307

Step 2: Find the prime factorization of 1539

1539 = 3 x 3 x 3 x 3 x 19

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

LCM = 2362365 = 3 x 3 x 3 x 3 x 5 x 19 x 307

Step 4: Therefore, the least common multiple of 1535 and 1539 is 2362365.