Least Common Multiple of 5234 and 5241

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5234 and 5241 the smallest integer that is 27431394 that is divisible by both numbers.

Least Common Multiple (LCM) of 5234 and 5241 is 27431394.

LCM(5234,5241) = 27431394

LCM of 5234 and 5241

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

LCM of:
and

Least Common Multiple of 5234 and 5241

LCM of 5234 and 5241 is 27431394

Least common multiple can be found by multiplying the highest exponent prime factors of 5234 and 5241. First we will calculate the prime factors of 5234 and 5241.

Prime Factorization of 5234


2 5234
2617 2617
1

Prime factors of 5234 are 2,2617. Prime factorization of 5234 in exponential form is:

5234 = 21×26171

Prime Factorization of 5241


3 5241
1747 1747
1

Prime factors of 5241 are 3,1747. Prime factorization of 5241 in exponential form is:

5241 = 31×17471

Now multiplying the highest exponent prime factors to calculate the LCM of 5234 and 5241.

LCM(5234,5241) = 21×31×17471×26171
LCM(5234,5241) = 27431394

Factors of 5234

List of positive integer factors of 5234 that divides 5234 without a remainder.

1, 2, 2617, 5234

Factors of 5241

List of positive integer factors of 5241 that divides 5241 without a remainder.

1, 3, 1747, 5241

Least Common Multiple of 5234 and 5241 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5234 and 5241, than apply into the LCM equation.

GCF(5234,5241) = 1
LCM(5234,5241) = ( 5234 × 5241) / 1
LCM(5234,5241) = 27431394 / 1
LCM(5234,5241) = 27431394

Properties of LCM 5234 and 5241

(i) The LCM of 5241 and 5234 is associative

LCM of 5234 and 5241 = LCM of 5241 and 5234

Related Least Common Multiples of 5234

Related Least Common Multiples of 5241

Frequently Asked Questions on LCM of 5234 and 5241

1. What is the LCM of 5234 and 5241?

Answer: LCM of 5234 and 5241 is 27431394.

2. What are the Factors of 5234?

Answer: Factors of 5234 are 1, 2, 2617, 5234. There are 4 integers that are factors of 5234. The greatest factor of 5234 is 5234.

3. What are the Factors of 5241?

Answer: Factors of 5241 are 1, 3, 1747, 5241. There are 4 integers that are factors of 5241. The greatest factor of 5241 is 5241.

4. How to Find the LCM of 5234 and 5241?

Answer:

Least Common Multiple of 5234 and 5241 = 27431394

Step 1: Find the prime factorization of 5234

5234 = 2 x 2617

Step 2: Find the prime factorization of 5241

5241 = 3 x 1747

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

LCM = 27431394 = 2 x 3 x 1747 x 2617

Step 4: Therefore, the least common multiple of 5234 and 5241 is 27431394.