Least Common Multiple of 1524 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 1524 and 1531 the smallest integer that is 2333244 that is divisible by both numbers.

Least Common Multiple (LCM) of 1524 and 1531 is 2333244.

LCM(1524,1531) = 2333244

LCM of 1524 and 1531

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

LCM of:
and

Least Common Multiple of 1524 and 1531

LCM of 1524 and 1531 is 2333244

Least common multiple can be found by multiplying the highest exponent prime factors of 1524 and 1531. First we will calculate the prime factors of 1524 and 1531.

Prime Factorization of 1524


2 1524
2 762
3 381
127 127
1

Prime factors of 1524 are 2, 3,127. Prime factorization of 1524 in exponential form is:

1524 = 22×31×1271

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 1524 and 1531.

LCM(1524,1531) = 22×31×1271×15311
LCM(1524,1531) = 2333244

Factors of 1524

List of positive integer factors of 1524 that divides 1524 without a remainder.

1, 2, 3, 4, 6, 12, 127, 254, 381, 508, 762, 1524

Factors of 1531

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

1, 1531

Least Common Multiple of 1524 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 1524 and 1531, than apply into the LCM equation.

GCF(1524,1531) = 1
LCM(1524,1531) = ( 1524 × 1531) / 1
LCM(1524,1531) = 2333244 / 1
LCM(1524,1531) = 2333244

Properties of LCM 1524 and 1531

(i) The LCM of 1531 and 1524 is associative

LCM of 1524 and 1531 = LCM of 1531 and 1524

Related Least Common Multiples of 1524

Related Least Common Multiples of 1531

Frequently Asked Questions on LCM of 1524 and 1531

1. What is the LCM of 1524 and 1531?

Answer: LCM of 1524 and 1531 is 2333244.

2. What are the Factors of 1524?

Answer: Factors of 1524 are 1, 2, 3, 4, 6, 12, 127, 254, 381, 508, 762, 1524. There are 12 integers that are factors of 1524. The greatest factor of 1524 is 1524.

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 1524 and 1531?

Answer:

Least Common Multiple of 1524 and 1531 = 2333244

Step 1: Find the prime factorization of 1524

1524 = 2 x 2 x 3 x 127

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 = 2333244 = 2 x 2 x 3 x 127 x 1531

Step 4: Therefore, the least common multiple of 1524 and 1531 is 2333244.