Least Common Multiple of 1536 and 1544

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1536 and 1544 the smallest integer that is 296448 that is divisible by both numbers.

Least Common Multiple (LCM) of 1536 and 1544 is 296448.

LCM(1536,1544) = 296448

LCM of 1536 and 1544

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

LCM of:
and

Least Common Multiple of 1536 and 1544

LCM of 1536 and 1544 is 296448

Least common multiple can be found by multiplying the highest exponent prime factors of 1536 and 1544. First we will calculate the prime factors of 1536 and 1544.

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

Prime Factorization of 1544


2 1544
2 772
2 386
193 193
1

Prime factors of 1544 are 2,193. Prime factorization of 1544 in exponential form is:

1544 = 23×1931

Now multiplying the highest exponent prime factors to calculate the LCM of 1536 and 1544.

LCM(1536,1544) = 29×31×1931
LCM(1536,1544) = 296448

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

Factors of 1544

List of positive integer factors of 1544 that divides 1544 without a remainder.

1, 2, 4, 8, 193, 386, 772, 1544

Least Common Multiple of 1536 and 1544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1536 and 1544, than apply into the LCM equation.

GCF(1536,1544) = 8
LCM(1536,1544) = ( 1536 × 1544) / 8
LCM(1536,1544) = 2371584 / 8
LCM(1536,1544) = 296448

Properties of LCM 1536 and 1544

(i) The LCM of 1544 and 1536 is associative

LCM of 1536 and 1544 = LCM of 1544 and 1536

Related Least Common Multiples of 1536

Related Least Common Multiples of 1544

Frequently Asked Questions on LCM of 1536 and 1544

1. What is the LCM of 1536 and 1544?

Answer: LCM of 1536 and 1544 is 296448.

2. 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.

3. What are the Factors of 1544?

Answer: Factors of 1544 are 1, 2, 4, 8, 193, 386, 772, 1544. There are 8 integers that are factors of 1544. The greatest factor of 1544 is 1544.

4. How to Find the LCM of 1536 and 1544?

Answer:

Least Common Multiple of 1536 and 1544 = 296448

Step 1: 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 2: Find the prime factorization of 1544

1544 = 2 x 2 x 2 x 193

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

LCM = 296448 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 193

Step 4: Therefore, the least common multiple of 1536 and 1544 is 296448.