Least Common Multiple of 1539 and 1543

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1539 and 1543 the smallest integer that is 2374677 that is divisible by both numbers.

Least Common Multiple (LCM) of 1539 and 1543 is 2374677.

LCM(1539,1543) = 2374677

LCM of 1539 and 1543

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

LCM of:
and

Least Common Multiple of 1539 and 1543

LCM of 1539 and 1543 is 2374677

Least common multiple can be found by multiplying the highest exponent prime factors of 1539 and 1543. First we will calculate the prime factors of 1539 and 1543.

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

Prime Factorization of 1543


1543 1543
1

Prime factors of 1543 are 1543. Prime factorization of 1543 in exponential form is:

1543 = 15431

Now multiplying the highest exponent prime factors to calculate the LCM of 1539 and 1543.

LCM(1539,1543) = 34×191×15431
LCM(1539,1543) = 2374677

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

Factors of 1543

List of positive integer factors of 1543 that divides 1543 without a remainder.

1, 1543

Least Common Multiple of 1539 and 1543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1539 and 1543, than apply into the LCM equation.

GCF(1539,1543) = 1
LCM(1539,1543) = ( 1539 × 1543) / 1
LCM(1539,1543) = 2374677 / 1
LCM(1539,1543) = 2374677

Properties of LCM 1539 and 1543

(i) The LCM of 1543 and 1539 is associative

LCM of 1539 and 1543 = LCM of 1543 and 1539

Related Least Common Multiples of 1539

Related Least Common Multiples of 1543

Frequently Asked Questions on LCM of 1539 and 1543

1. What is the LCM of 1539 and 1543?

Answer: LCM of 1539 and 1543 is 2374677.

2. 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.

3. What are the Factors of 1543?

Answer: Factors of 1543 are 1, 1543. There are 2 integers that are factors of 1543. The greatest factor of 1543 is 1543.

4. How to Find the LCM of 1539 and 1543?

Answer:

Least Common Multiple of 1539 and 1543 = 2374677

Step 1: Find the prime factorization of 1539

1539 = 3 x 3 x 3 x 3 x 19

Step 2: Find the prime factorization of 1543

1543 = 1543

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

LCM = 2374677 = 3 x 3 x 3 x 3 x 19 x 1543

Step 4: Therefore, the least common multiple of 1539 and 1543 is 2374677.