Least Common Multiple of 1525 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 1525 and 1531 the smallest integer that is 2334775 that is divisible by both numbers.

Least Common Multiple (LCM) of 1525 and 1531 is 2334775.

LCM(1525,1531) = 2334775

LCM of 1525 and 1531

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

LCM of:
and

Least Common Multiple of 1525 and 1531

LCM of 1525 and 1531 is 2334775

Least common multiple can be found by multiplying the highest exponent prime factors of 1525 and 1531. First we will calculate the prime factors of 1525 and 1531.

Prime Factorization of 1525


5 1525
5 305
61 61
1

Prime factors of 1525 are 5,61. Prime factorization of 1525 in exponential form is:

1525 = 52×611

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 1525 and 1531.

LCM(1525,1531) = 52×611×15311
LCM(1525,1531) = 2334775

Factors of 1525

List of positive integer factors of 1525 that divides 1525 without a remainder.

1, 5, 25, 61, 305, 1525

Factors of 1531

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

1, 1531

Least Common Multiple of 1525 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 1525 and 1531, than apply into the LCM equation.

GCF(1525,1531) = 1
LCM(1525,1531) = ( 1525 × 1531) / 1
LCM(1525,1531) = 2334775 / 1
LCM(1525,1531) = 2334775

Properties of LCM 1525 and 1531

(i) The LCM of 1531 and 1525 is associative

LCM of 1525 and 1531 = LCM of 1531 and 1525

Related Least Common Multiples of 1525

Related Least Common Multiples of 1531

Frequently Asked Questions on LCM of 1525 and 1531

1. What is the LCM of 1525 and 1531?

Answer: LCM of 1525 and 1531 is 2334775.

2. What are the Factors of 1525?

Answer: Factors of 1525 are 1, 5, 25, 61, 305, 1525. There are 6 integers that are factors of 1525. The greatest factor of 1525 is 1525.

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 1525 and 1531?

Answer:

Least Common Multiple of 1525 and 1531 = 2334775

Step 1: Find the prime factorization of 1525

1525 = 5 x 5 x 61

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 = 2334775 = 5 x 5 x 61 x 1531

Step 4: Therefore, the least common multiple of 1525 and 1531 is 2334775.