Least Common Multiple of 1532 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 1532 and 1536 the smallest integer that is 588288 that is divisible by both numbers.

Least Common Multiple (LCM) of 1532 and 1536 is 588288.

LCM(1532,1536) = 588288

LCM of 1532 and 1536

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

LCM of:
and

Least Common Multiple of 1532 and 1536

LCM of 1532 and 1536 is 588288

Least common multiple can be found by multiplying the highest exponent prime factors of 1532 and 1536. First we will calculate the prime factors of 1532 and 1536.

Prime Factorization of 1532


2 1532
2 766
383 383
1

Prime factors of 1532 are 2,383. Prime factorization of 1532 in exponential form is:

1532 = 22×3831

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 1532 and 1536.

LCM(1532,1536) = 29×31×3831
LCM(1532,1536) = 588288

Factors of 1532

List of positive integer factors of 1532 that divides 1532 without a remainder.

1, 2, 4, 383, 766, 1532

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 1532 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 1532 and 1536, than apply into the LCM equation.

GCF(1532,1536) = 4
LCM(1532,1536) = ( 1532 × 1536) / 4
LCM(1532,1536) = 2353152 / 4
LCM(1532,1536) = 588288

Properties of LCM 1532 and 1536

(i) The LCM of 1536 and 1532 is associative

LCM of 1532 and 1536 = LCM of 1536 and 1532

Related Least Common Multiples of 1532

Related Least Common Multiples of 1536

Frequently Asked Questions on LCM of 1532 and 1536

1. What is the LCM of 1532 and 1536?

Answer: LCM of 1532 and 1536 is 588288.

2. What are the Factors of 1532?

Answer: Factors of 1532 are 1, 2, 4, 383, 766, 1532. There are 6 integers that are factors of 1532. The greatest factor of 1532 is 1532.

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 1532 and 1536?

Answer:

Least Common Multiple of 1532 and 1536 = 588288

Step 1: Find the prime factorization of 1532

1532 = 2 x 2 x 383

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 = 588288 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 383

Step 4: Therefore, the least common multiple of 1532 and 1536 is 588288.