Least Common Multiple of 1529 and 1533

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 1533 the smallest integer that is 2343957 that is divisible by both numbers.

Least Common Multiple (LCM) of 1529 and 1533 is 2343957.

LCM(1529,1533) = 2343957

LCM of 1529 and 1533

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

LCM of:
and

Least Common Multiple of 1529 and 1533

LCM of 1529 and 1533 is 2343957

Least common multiple can be found by multiplying the highest exponent prime factors of 1529 and 1533. First we will calculate the prime factors of 1529 and 1533.

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 1533


3 1533
7 511
73 73
1

Prime factors of 1533 are 3, 7,73. Prime factorization of 1533 in exponential form is:

1533 = 31×71×731

Now multiplying the highest exponent prime factors to calculate the LCM of 1529 and 1533.

LCM(1529,1533) = 31×71×111×731×1391
LCM(1529,1533) = 2343957

Factors of 1529

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

1, 11, 139, 1529

Factors of 1533

List of positive integer factors of 1533 that divides 1533 without a remainder.

1, 3, 7, 21, 73, 219, 511, 1533

Least Common Multiple of 1529 and 1533 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 1533, than apply into the LCM equation.

GCF(1529,1533) = 1
LCM(1529,1533) = ( 1529 × 1533) / 1
LCM(1529,1533) = 2343957 / 1
LCM(1529,1533) = 2343957

Properties of LCM 1529 and 1533

(i) The LCM of 1533 and 1529 is associative

LCM of 1529 and 1533 = LCM of 1533 and 1529

Related Least Common Multiples of 1529

Related Least Common Multiples of 1533

Frequently Asked Questions on LCM of 1529 and 1533

1. What is the LCM of 1529 and 1533?

Answer: LCM of 1529 and 1533 is 2343957.

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 1533?

Answer: Factors of 1533 are 1, 3, 7, 21, 73, 219, 511, 1533. There are 8 integers that are factors of 1533. The greatest factor of 1533 is 1533.

4. How to Find the LCM of 1529 and 1533?

Answer:

Least Common Multiple of 1529 and 1533 = 2343957

Step 1: Find the prime factorization of 1529

1529 = 11 x 139

Step 2: Find the prime factorization of 1533

1533 = 3 x 7 x 73

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

LCM = 2343957 = 3 x 7 x 11 x 73 x 139

Step 4: Therefore, the least common multiple of 1529 and 1533 is 2343957.