Least Common Multiple of 2533 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 2533 and 2534 the smallest integer that is 6418622 that is divisible by both numbers.

Least Common Multiple (LCM) of 2533 and 2534 is 6418622.

LCM(2533,2534) = 6418622

LCM of 2533 and 2534

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

LCM of:
and

Least Common Multiple of 2533 and 2534

LCM of 2533 and 2534 is 6418622

Least common multiple can be found by multiplying the highest exponent prime factors of 2533 and 2534. First we will calculate the prime factors of 2533 and 2534.

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 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 2533 and 2534.

LCM(2533,2534) = 21×71×171×1491×1811
LCM(2533,2534) = 6418622

Factors of 2533

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

1, 17, 149, 2533

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 2533 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 2533 and 2534, than apply into the LCM equation.

GCF(2533,2534) = 1
LCM(2533,2534) = ( 2533 × 2534) / 1
LCM(2533,2534) = 6418622 / 1
LCM(2533,2534) = 6418622

Properties of LCM 2533 and 2534

(i) The LCM of 2534 and 2533 is associative

LCM of 2533 and 2534 = LCM of 2534 and 2533

Frequently Asked Questions on LCM of 2533 and 2534

1. What is the LCM of 2533 and 2534?

Answer: LCM of 2533 and 2534 is 6418622.

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 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 2533 and 2534?

Answer:

Least Common Multiple of 2533 and 2534 = 6418622

Step 1: Find the prime factorization of 2533

2533 = 17 x 149

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 = 6418622 = 2 x 7 x 17 x 149 x 181

Step 4: Therefore, the least common multiple of 2533 and 2534 is 6418622.