Least Common Multiple of 2534 and 2541

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 2541 the smallest integer that is 919842 that is divisible by both numbers.

Least Common Multiple (LCM) of 2534 and 2541 is 919842.

LCM(2534,2541) = 919842

LCM of 2534 and 2541

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

LCM of:
and

Least Common Multiple of 2534 and 2541

LCM of 2534 and 2541 is 919842

Least common multiple can be found by multiplying the highest exponent prime factors of 2534 and 2541. First we will calculate the prime factors of 2534 and 2541.

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 2541


3 2541
7 847
11 121
11 11
1

Prime factors of 2541 are 3, 7,11. Prime factorization of 2541 in exponential form is:

2541 = 31×71×112

Now multiplying the highest exponent prime factors to calculate the LCM of 2534 and 2541.

LCM(2534,2541) = 21×31×71×112×1811
LCM(2534,2541) = 919842

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 2541

List of positive integer factors of 2541 that divides 2541 without a remainder.

1, 3, 7, 11, 21, 33, 77, 121, 231, 363, 847, 2541

Least Common Multiple of 2534 and 2541 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 2541, than apply into the LCM equation.

GCF(2534,2541) = 7
LCM(2534,2541) = ( 2534 × 2541) / 7
LCM(2534,2541) = 6438894 / 7
LCM(2534,2541) = 919842

Properties of LCM 2534 and 2541

(i) The LCM of 2541 and 2534 is associative

LCM of 2534 and 2541 = LCM of 2541 and 2534

Related Least Common Multiples of 2534

Related Least Common Multiples of 2541

Frequently Asked Questions on LCM of 2534 and 2541

1. What is the LCM of 2534 and 2541?

Answer: LCM of 2534 and 2541 is 919842.

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 2541?

Answer: Factors of 2541 are 1, 3, 7, 11, 21, 33, 77, 121, 231, 363, 847, 2541. There are 12 integers that are factors of 2541. The greatest factor of 2541 is 2541.

4. How to Find the LCM of 2534 and 2541?

Answer:

Least Common Multiple of 2534 and 2541 = 919842

Step 1: Find the prime factorization of 2534

2534 = 2 x 7 x 181

Step 2: Find the prime factorization of 2541

2541 = 3 x 7 x 11 x 11

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

LCM = 919842 = 2 x 3 x 7 x 11 x 11 x 181

Step 4: Therefore, the least common multiple of 2534 and 2541 is 919842.