Least Common Multiple of 2529 and 2534

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 2534 the smallest integer that is 6408486 that is divisible by both numbers.

Least Common Multiple (LCM) of 2529 and 2534 is 6408486.

LCM(2529,2534) = 6408486

LCM of 2529 and 2534

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

LCM of:
and

Least Common Multiple of 2529 and 2534

LCM of 2529 and 2534 is 6408486

Least common multiple can be found by multiplying the highest exponent prime factors of 2529 and 2534. First we will calculate the prime factors of 2529 and 2534.

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 2534


2 2534
7 1267
181 181
1

Prime factors of 2534 are 2, 7,181. Prime factorization of 2534 in exponential form is:

2534 = 21×71×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 2529 and 2534.

LCM(2529,2534) = 21×32×71×1811×2811
LCM(2529,2534) = 6408486

Factors of 2529

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

1, 3, 9, 281, 843, 2529

Factors of 2534

List of positive integer factors of 2534 that divides 2534 without a remainder.

1, 2, 7, 14, 181, 362, 1267, 2534

Least Common Multiple of 2529 and 2534 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 2534, than apply into the LCM equation.

GCF(2529,2534) = 1
LCM(2529,2534) = ( 2529 × 2534) / 1
LCM(2529,2534) = 6408486 / 1
LCM(2529,2534) = 6408486

Properties of LCM 2529 and 2534

(i) The LCM of 2534 and 2529 is associative

LCM of 2529 and 2534 = LCM of 2534 and 2529

Related Least Common Multiples of 2529

Related Least Common Multiples of 2534

Frequently Asked Questions on LCM of 2529 and 2534

1. What is the LCM of 2529 and 2534?

Answer: LCM of 2529 and 2534 is 6408486.

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 2534?

Answer: Factors of 2534 are 1, 2, 7, 14, 181, 362, 1267, 2534. There are 8 integers that are factors of 2534. The greatest factor of 2534 is 2534.

4. How to Find the LCM of 2529 and 2534?

Answer:

Least Common Multiple of 2529 and 2534 = 6408486

Step 1: Find the prime factorization of 2529

2529 = 3 x 3 x 281

Step 2: Find the prime factorization of 2534

2534 = 2 x 7 x 181

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

LCM = 6408486 = 2 x 3 x 3 x 7 x 181 x 281

Step 4: Therefore, the least common multiple of 2529 and 2534 is 6408486.