Least Common Multiple of 1533 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 1533 and 1539 the smallest integer that is 786429 that is divisible by both numbers.

Least Common Multiple (LCM) of 1533 and 1539 is 786429.

LCM(1533,1539) = 786429

LCM of 1533 and 1539

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

LCM of:
and

Least Common Multiple of 1533 and 1539

LCM of 1533 and 1539 is 786429

Least common multiple can be found by multiplying the highest exponent prime factors of 1533 and 1539. First we will calculate the prime factors of 1533 and 1539.

Prime Factorization of 1533


3 1533
7 511
73 73
1

Prime factors of 1533 are 3, 7,73. Prime factorization of 1533 in exponential form is:

1533 = 31×71×731

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 1533 and 1539.

LCM(1533,1539) = 34×71×191×731
LCM(1533,1539) = 786429

Factors of 1533

List of positive integer factors of 1533 that divides 1533 without a remainder.

1, 3, 7, 21, 73, 219, 511, 1533

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 1533 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 1533 and 1539, than apply into the LCM equation.

GCF(1533,1539) = 3
LCM(1533,1539) = ( 1533 × 1539) / 3
LCM(1533,1539) = 2359287 / 3
LCM(1533,1539) = 786429

Properties of LCM 1533 and 1539

(i) The LCM of 1539 and 1533 is associative

LCM of 1533 and 1539 = LCM of 1539 and 1533

Related Least Common Multiples of 1533

Related Least Common Multiples of 1539

Frequently Asked Questions on LCM of 1533 and 1539

1. What is the LCM of 1533 and 1539?

Answer: LCM of 1533 and 1539 is 786429.

2. What are the Factors of 1533?

Answer: Factors of 1533 are 1, 3, 7, 21, 73, 219, 511, 1533. There are 8 integers that are factors of 1533. The greatest factor of 1533 is 1533.

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 1533 and 1539?

Answer:

Least Common Multiple of 1533 and 1539 = 786429

Step 1: Find the prime factorization of 1533

1533 = 3 x 7 x 73

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 = 786429 = 3 x 3 x 3 x 3 x 7 x 19 x 73

Step 4: Therefore, the least common multiple of 1533 and 1539 is 786429.