Least Common Multiple of 1531 and 1536

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 1536 the smallest integer that is 2351616 that is divisible by both numbers.

Least Common Multiple (LCM) of 1531 and 1536 is 2351616.

LCM(1531,1536) = 2351616

LCM of 1531 and 1536

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

LCM of:
and

Least Common Multiple of 1531 and 1536

LCM of 1531 and 1536 is 2351616

Least common multiple can be found by multiplying the highest exponent prime factors of 1531 and 1536. First we will calculate the prime factors of 1531 and 1536.

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 1536


2 1536
2 768
2 384
2 192
2 96
2 48
2 24
2 12
2 6
3 3
1

Prime factors of 1536 are 2,3. Prime factorization of 1536 in exponential form is:

1536 = 29×31

Now multiplying the highest exponent prime factors to calculate the LCM of 1531 and 1536.

LCM(1531,1536) = 29×31×15311
LCM(1531,1536) = 2351616

Factors of 1531

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

1, 1531

Factors of 1536

List of positive integer factors of 1536 that divides 1536 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 512, 768, 1536

Least Common Multiple of 1531 and 1536 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 1536, than apply into the LCM equation.

GCF(1531,1536) = 1
LCM(1531,1536) = ( 1531 × 1536) / 1
LCM(1531,1536) = 2351616 / 1
LCM(1531,1536) = 2351616

Properties of LCM 1531 and 1536

(i) The LCM of 1536 and 1531 is associative

LCM of 1531 and 1536 = LCM of 1536 and 1531

Related Least Common Multiples of 1531

Related Least Common Multiples of 1536

Frequently Asked Questions on LCM of 1531 and 1536

1. What is the LCM of 1531 and 1536?

Answer: LCM of 1531 and 1536 is 2351616.

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 1536?

Answer: Factors of 1536 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 512, 768, 1536. There are 20 integers that are factors of 1536. The greatest factor of 1536 is 1536.

4. How to Find the LCM of 1531 and 1536?

Answer:

Least Common Multiple of 1531 and 1536 = 2351616

Step 1: Find the prime factorization of 1531

1531 = 1531

Step 2: Find the prime factorization of 1536

1536 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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

LCM = 2351616 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 1531

Step 4: Therefore, the least common multiple of 1531 and 1536 is 2351616.