Least Common Multiple of 2529 and 2533

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2529 and 2533 the smallest integer that is 6405957 that is divisible by both numbers.

Least Common Multiple (LCM) of 2529 and 2533 is 6405957.

LCM(2529,2533) = 6405957

LCM of 2529 and 2533

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

LCM of:
and

Least Common Multiple of 2529 and 2533

LCM of 2529 and 2533 is 6405957

Least common multiple can be found by multiplying the highest exponent prime factors of 2529 and 2533. First we will calculate the prime factors of 2529 and 2533.

Prime Factorization of 2529


3 2529
3 843
281 281
1

Prime factors of 2529 are 3,281. Prime factorization of 2529 in exponential form is:

2529 = 32×2811

Prime Factorization of 2533


17 2533
149 149
1

Prime factors of 2533 are 17,149. Prime factorization of 2533 in exponential form is:

2533 = 171×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 2529 and 2533.

LCM(2529,2533) = 32×171×1491×2811
LCM(2529,2533) = 6405957

Factors of 2529

List of positive integer factors of 2529 that divides 2529 without a remainder.

1, 3, 9, 281, 843, 2529

Factors of 2533

List of positive integer factors of 2533 that divides 2533 without a remainder.

1, 17, 149, 2533

Least Common Multiple of 2529 and 2533 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2529 and 2533, than apply into the LCM equation.

GCF(2529,2533) = 1
LCM(2529,2533) = ( 2529 × 2533) / 1
LCM(2529,2533) = 6405957 / 1
LCM(2529,2533) = 6405957

Properties of LCM 2529 and 2533

(i) The LCM of 2533 and 2529 is associative

LCM of 2529 and 2533 = LCM of 2533 and 2529

Related Least Common Multiples of 2529

Related Least Common Multiples of 2533

Frequently Asked Questions on LCM of 2529 and 2533

1. What is the LCM of 2529 and 2533?

Answer: LCM of 2529 and 2533 is 6405957.

2. What are the Factors of 2529?

Answer: Factors of 2529 are 1, 3, 9, 281, 843, 2529. There are 6 integers that are factors of 2529. The greatest factor of 2529 is 2529.

3. What are the Factors of 2533?

Answer: Factors of 2533 are 1, 17, 149, 2533. There are 4 integers that are factors of 2533. The greatest factor of 2533 is 2533.

4. How to Find the LCM of 2529 and 2533?

Answer:

Least Common Multiple of 2529 and 2533 = 6405957

Step 1: Find the prime factorization of 2529

2529 = 3 x 3 x 281

Step 2: Find the prime factorization of 2533

2533 = 17 x 149

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

LCM = 6405957 = 3 x 3 x 17 x 149 x 281

Step 4: Therefore, the least common multiple of 2529 and 2533 is 6405957.