Least Common Multiple of 2529 and 2537

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 2537 the smallest integer that is 6416073 that is divisible by both numbers.

Least Common Multiple (LCM) of 2529 and 2537 is 6416073.

LCM(2529,2537) = 6416073

LCM of 2529 and 2537

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

LCM of:
and

Least Common Multiple of 2529 and 2537

LCM of 2529 and 2537 is 6416073

Least common multiple can be found by multiplying the highest exponent prime factors of 2529 and 2537. First we will calculate the prime factors of 2529 and 2537.

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 2537


43 2537
59 59
1

Prime factors of 2537 are 43,59. Prime factorization of 2537 in exponential form is:

2537 = 431×591

Now multiplying the highest exponent prime factors to calculate the LCM of 2529 and 2537.

LCM(2529,2537) = 32×431×591×2811
LCM(2529,2537) = 6416073

Factors of 2529

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

1, 3, 9, 281, 843, 2529

Factors of 2537

List of positive integer factors of 2537 that divides 2537 without a remainder.

1, 43, 59, 2537

Least Common Multiple of 2529 and 2537 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 2537, than apply into the LCM equation.

GCF(2529,2537) = 1
LCM(2529,2537) = ( 2529 × 2537) / 1
LCM(2529,2537) = 6416073 / 1
LCM(2529,2537) = 6416073

Properties of LCM 2529 and 2537

(i) The LCM of 2537 and 2529 is associative

LCM of 2529 and 2537 = LCM of 2537 and 2529

Related Least Common Multiples of 2529

Related Least Common Multiples of 2537

Frequently Asked Questions on LCM of 2529 and 2537

1. What is the LCM of 2529 and 2537?

Answer: LCM of 2529 and 2537 is 6416073.

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 2537?

Answer: Factors of 2537 are 1, 43, 59, 2537. There are 4 integers that are factors of 2537. The greatest factor of 2537 is 2537.

4. How to Find the LCM of 2529 and 2537?

Answer:

Least Common Multiple of 2529 and 2537 = 6416073

Step 1: Find the prime factorization of 2529

2529 = 3 x 3 x 281

Step 2: Find the prime factorization of 2537

2537 = 43 x 59

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

LCM = 6416073 = 3 x 3 x 43 x 59 x 281

Step 4: Therefore, the least common multiple of 2529 and 2537 is 6416073.