Least Common Multiple of 1531 and 1538

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1531 and 1538 the smallest integer that is 2354678 that is divisible by both numbers.

Least Common Multiple (LCM) of 1531 and 1538 is 2354678.

LCM(1531,1538) = 2354678

LCM of 1531 and 1538

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

LCM of:
and

Least Common Multiple of 1531 and 1538

LCM of 1531 and 1538 is 2354678

Least common multiple can be found by multiplying the highest exponent prime factors of 1531 and 1538. First we will calculate the prime factors of 1531 and 1538.

Prime Factorization of 1531


1531 1531
1

Prime factors of 1531 are 1531. Prime factorization of 1531 in exponential form is:

1531 = 15311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1531 and 1538.

LCM(1531,1538) = 21×7691×15311
LCM(1531,1538) = 2354678

Factors of 1531

List of positive integer factors of 1531 that divides 1531 without a remainder.

1, 1531

Factors of 1538

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

1, 2, 769, 1538

Least Common Multiple of 1531 and 1538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1531 and 1538, than apply into the LCM equation.

GCF(1531,1538) = 1
LCM(1531,1538) = ( 1531 × 1538) / 1
LCM(1531,1538) = 2354678 / 1
LCM(1531,1538) = 2354678

Properties of LCM 1531 and 1538

(i) The LCM of 1538 and 1531 is associative

LCM of 1531 and 1538 = LCM of 1538 and 1531

Related Least Common Multiples of 1531

Related Least Common Multiples of 1538

Frequently Asked Questions on LCM of 1531 and 1538

1. What is the LCM of 1531 and 1538?

Answer: LCM of 1531 and 1538 is 2354678.

2. What are the Factors of 1531?

Answer: Factors of 1531 are 1, 1531. There are 2 integers that are factors of 1531. The greatest factor of 1531 is 1531.

3. 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.

4. How to Find the LCM of 1531 and 1538?

Answer:

Least Common Multiple of 1531 and 1538 = 2354678

Step 1: Find the prime factorization of 1531

1531 = 1531

Step 2: Find the prime factorization of 1538

1538 = 2 x 769

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

LCM = 2354678 = 2 x 769 x 1531

Step 4: Therefore, the least common multiple of 1531 and 1538 is 2354678.