Least Common Multiple of 1523 and 1531

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1523 and 1531 the smallest integer that is 2331713 that is divisible by both numbers.

Least Common Multiple (LCM) of 1523 and 1531 is 2331713.

LCM(1523,1531) = 2331713

LCM of 1523 and 1531

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

LCM of:
and

Least Common Multiple of 1523 and 1531

LCM of 1523 and 1531 is 2331713

Least common multiple can be found by multiplying the highest exponent prime factors of 1523 and 1531. First we will calculate the prime factors of 1523 and 1531.

Prime Factorization of 1523


1523 1523
1

Prime factors of 1523 are 1523. Prime factorization of 1523 in exponential form is:

1523 = 15231

Prime Factorization of 1531


1531 1531
1

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

1531 = 15311

Now multiplying the highest exponent prime factors to calculate the LCM of 1523 and 1531.

LCM(1523,1531) = 15231×15311
LCM(1523,1531) = 2331713

Factors of 1523

List of positive integer factors of 1523 that divides 1523 without a remainder.

1, 1523

Factors of 1531

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

1, 1531

Least Common Multiple of 1523 and 1531 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1523 and 1531, than apply into the LCM equation.

GCF(1523,1531) = 1
LCM(1523,1531) = ( 1523 × 1531) / 1
LCM(1523,1531) = 2331713 / 1
LCM(1523,1531) = 2331713

Properties of LCM 1523 and 1531

(i) The LCM of 1531 and 1523 is associative

LCM of 1523 and 1531 = LCM of 1531 and 1523

Related Least Common Multiples of 1523

Related Least Common Multiples of 1531

Frequently Asked Questions on LCM of 1523 and 1531

1. What is the LCM of 1523 and 1531?

Answer: LCM of 1523 and 1531 is 2331713.

2. What are the Factors of 1523?

Answer: Factors of 1523 are 1, 1523. There are 2 integers that are factors of 1523. The greatest factor of 1523 is 1523.

3. 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.

4. How to Find the LCM of 1523 and 1531?

Answer:

Least Common Multiple of 1523 and 1531 = 2331713

Step 1: Find the prime factorization of 1523

1523 = 1523

Step 2: Find the prime factorization of 1531

1531 = 1531

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

LCM = 2331713 = 1523 x 1531

Step 4: Therefore, the least common multiple of 1523 and 1531 is 2331713.