Least Common Multiple of 1538 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 1538 and 1543 the smallest integer that is 2373134 that is divisible by both numbers.

Least Common Multiple (LCM) of 1538 and 1543 is 2373134.

LCM(1538,1543) = 2373134

LCM of 1538 and 1543

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

LCM of:
and

Least Common Multiple of 1538 and 1543

LCM of 1538 and 1543 is 2373134

Least common multiple can be found by multiplying the highest exponent prime factors of 1538 and 1543. First we will calculate the prime factors of 1538 and 1543.

Prime Factorization of 1538


2 1538
769 769
1

Prime factors of 1538 are 2,769. Prime factorization of 1538 in exponential form is:

1538 = 21×7691

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 1538 and 1543.

LCM(1538,1543) = 21×7691×15431
LCM(1538,1543) = 2373134

Factors of 1538

List of positive integer factors of 1538 that divides 1538 without a remainder.

1, 2, 769, 1538

Factors of 1543

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

1, 1543

Least Common Multiple of 1538 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 1538 and 1543, than apply into the LCM equation.

GCF(1538,1543) = 1
LCM(1538,1543) = ( 1538 × 1543) / 1
LCM(1538,1543) = 2373134 / 1
LCM(1538,1543) = 2373134

Properties of LCM 1538 and 1543

(i) The LCM of 1543 and 1538 is associative

LCM of 1538 and 1543 = LCM of 1543 and 1538

Related Least Common Multiples of 1538

Related Least Common Multiples of 1543

Frequently Asked Questions on LCM of 1538 and 1543

1. What is the LCM of 1538 and 1543?

Answer: LCM of 1538 and 1543 is 2373134.

2. What are the Factors of 1538?

Answer: Factors of 1538 are 1, 2, 769, 1538. There are 4 integers that are factors of 1538. The greatest factor of 1538 is 1538.

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 1538 and 1543?

Answer:

Least Common Multiple of 1538 and 1543 = 2373134

Step 1: Find the prime factorization of 1538

1538 = 2 x 769

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 = 2373134 = 2 x 769 x 1543

Step 4: Therefore, the least common multiple of 1538 and 1543 is 2373134.