Least Common Multiple of 2533 and 2538

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2533 and 2538 the smallest integer that is 6428754 that is divisible by both numbers.

Least Common Multiple (LCM) of 2533 and 2538 is 6428754.

LCM(2533,2538) = 6428754

LCM of 2533 and 2538

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

LCM of:
and

Least Common Multiple of 2533 and 2538

LCM of 2533 and 2538 is 6428754

Least common multiple can be found by multiplying the highest exponent prime factors of 2533 and 2538. First we will calculate the prime factors of 2533 and 2538.

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

Prime Factorization of 2538


2 2538
3 1269
3 423
3 141
47 47
1

Prime factors of 2538 are 2, 3,47. Prime factorization of 2538 in exponential form is:

2538 = 21×33×471

Now multiplying the highest exponent prime factors to calculate the LCM of 2533 and 2538.

LCM(2533,2538) = 21×33×171×471×1491
LCM(2533,2538) = 6428754

Factors of 2533

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

1, 17, 149, 2533

Factors of 2538

List of positive integer factors of 2538 that divides 2538 without a remainder.

1, 2, 3, 6, 9, 18, 27, 47, 54, 94, 141, 282, 423, 846, 1269, 2538

Least Common Multiple of 2533 and 2538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2533 and 2538, than apply into the LCM equation.

GCF(2533,2538) = 1
LCM(2533,2538) = ( 2533 × 2538) / 1
LCM(2533,2538) = 6428754 / 1
LCM(2533,2538) = 6428754

Properties of LCM 2533 and 2538

(i) The LCM of 2538 and 2533 is associative

LCM of 2533 and 2538 = LCM of 2538 and 2533

Related Least Common Multiples of 2533

Related Least Common Multiples of 2538

Frequently Asked Questions on LCM of 2533 and 2538

1. What is the LCM of 2533 and 2538?

Answer: LCM of 2533 and 2538 is 6428754.

2. 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.

3. What are the Factors of 2538?

Answer: Factors of 2538 are 1, 2, 3, 6, 9, 18, 27, 47, 54, 94, 141, 282, 423, 846, 1269, 2538. There are 16 integers that are factors of 2538. The greatest factor of 2538 is 2538.

4. How to Find the LCM of 2533 and 2538?

Answer:

Least Common Multiple of 2533 and 2538 = 6428754

Step 1: Find the prime factorization of 2533

2533 = 17 x 149

Step 2: Find the prime factorization of 2538

2538 = 2 x 3 x 3 x 3 x 47

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

LCM = 6428754 = 2 x 3 x 3 x 3 x 17 x 47 x 149

Step 4: Therefore, the least common multiple of 2533 and 2538 is 6428754.