Least Common Multiple of 2534 and 2542

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2534 and 2542 the smallest integer that is 3220714 that is divisible by both numbers.

Least Common Multiple (LCM) of 2534 and 2542 is 3220714.

LCM(2534,2542) = 3220714

LCM of 2534 and 2542

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

LCM of:
and

Least Common Multiple of 2534 and 2542

LCM of 2534 and 2542 is 3220714

Least common multiple can be found by multiplying the highest exponent prime factors of 2534 and 2542. First we will calculate the prime factors of 2534 and 2542.

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

Prime Factorization of 2542


2 2542
31 1271
41 41
1

Prime factors of 2542 are 2, 31,41. Prime factorization of 2542 in exponential form is:

2542 = 21×311×411

Now multiplying the highest exponent prime factors to calculate the LCM of 2534 and 2542.

LCM(2534,2542) = 21×71×311×411×1811
LCM(2534,2542) = 3220714

Factors of 2534

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

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

Factors of 2542

List of positive integer factors of 2542 that divides 2542 without a remainder.

1, 2, 31, 41, 62, 82, 1271, 2542

Least Common Multiple of 2534 and 2542 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2534 and 2542, than apply into the LCM equation.

GCF(2534,2542) = 2
LCM(2534,2542) = ( 2534 × 2542) / 2
LCM(2534,2542) = 6441428 / 2
LCM(2534,2542) = 3220714

Properties of LCM 2534 and 2542

(i) The LCM of 2542 and 2534 is associative

LCM of 2534 and 2542 = LCM of 2542 and 2534

Related Least Common Multiples of 2534

Related Least Common Multiples of 2542

Frequently Asked Questions on LCM of 2534 and 2542

1. What is the LCM of 2534 and 2542?

Answer: LCM of 2534 and 2542 is 3220714.

2. 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.

3. What are the Factors of 2542?

Answer: Factors of 2542 are 1, 2, 31, 41, 62, 82, 1271, 2542. There are 8 integers that are factors of 2542. The greatest factor of 2542 is 2542.

4. How to Find the LCM of 2534 and 2542?

Answer:

Least Common Multiple of 2534 and 2542 = 3220714

Step 1: Find the prime factorization of 2534

2534 = 2 x 7 x 181

Step 2: Find the prime factorization of 2542

2542 = 2 x 31 x 41

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

LCM = 3220714 = 2 x 7 x 31 x 41 x 181

Step 4: Therefore, the least common multiple of 2534 and 2542 is 3220714.