Least Common Multiple of 1529 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 1529 and 1536 the smallest integer that is 2348544 that is divisible by both numbers.

Least Common Multiple (LCM) of 1529 and 1536 is 2348544.

LCM(1529,1536) = 2348544

LCM of 1529 and 1536

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

LCM of:
and

Least Common Multiple of 1529 and 1536

LCM of 1529 and 1536 is 2348544

Least common multiple can be found by multiplying the highest exponent prime factors of 1529 and 1536. First we will calculate the prime factors of 1529 and 1536.

Prime Factorization of 1529


11 1529
139 139
1

Prime factors of 1529 are 11,139. Prime factorization of 1529 in exponential form is:

1529 = 111×1391

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 1529 and 1536.

LCM(1529,1536) = 29×31×111×1391
LCM(1529,1536) = 2348544

Factors of 1529

List of positive integer factors of 1529 that divides 1529 without a remainder.

1, 11, 139, 1529

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 1529 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 1529 and 1536, than apply into the LCM equation.

GCF(1529,1536) = 1
LCM(1529,1536) = ( 1529 × 1536) / 1
LCM(1529,1536) = 2348544 / 1
LCM(1529,1536) = 2348544

Properties of LCM 1529 and 1536

(i) The LCM of 1536 and 1529 is associative

LCM of 1529 and 1536 = LCM of 1536 and 1529

Related Least Common Multiples of 1529

Related Least Common Multiples of 1536

Frequently Asked Questions on LCM of 1529 and 1536

1. What is the LCM of 1529 and 1536?

Answer: LCM of 1529 and 1536 is 2348544.

2. What are the Factors of 1529?

Answer: Factors of 1529 are 1, 11, 139, 1529. There are 4 integers that are factors of 1529. The greatest factor of 1529 is 1529.

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 1529 and 1536?

Answer:

Least Common Multiple of 1529 and 1536 = 2348544

Step 1: Find the prime factorization of 1529

1529 = 11 x 139

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 = 2348544 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 11 x 139

Step 4: Therefore, the least common multiple of 1529 and 1536 is 2348544.