Least Common Multiple of 5234 and 5242

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 5242 the smallest integer that is 13718314 that is divisible by both numbers.

Least Common Multiple (LCM) of 5234 and 5242 is 13718314.

LCM(5234,5242) = 13718314

LCM of 5234 and 5242

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

LCM of:
and

Least Common Multiple of 5234 and 5242

LCM of 5234 and 5242 is 13718314

Least common multiple can be found by multiplying the highest exponent prime factors of 5234 and 5242. First we will calculate the prime factors of 5234 and 5242.

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 5242


2 5242
2621 2621
1

Prime factors of 5242 are 2,2621. Prime factorization of 5242 in exponential form is:

5242 = 21×26211

Now multiplying the highest exponent prime factors to calculate the LCM of 5234 and 5242.

LCM(5234,5242) = 21×26171×26211
LCM(5234,5242) = 13718314

Factors of 5234

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

1, 2, 2617, 5234

Factors of 5242

List of positive integer factors of 5242 that divides 5242 without a remainder.

1, 2, 2621, 5242

Least Common Multiple of 5234 and 5242 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 5242, than apply into the LCM equation.

GCF(5234,5242) = 2
LCM(5234,5242) = ( 5234 × 5242) / 2
LCM(5234,5242) = 27436628 / 2
LCM(5234,5242) = 13718314

Properties of LCM 5234 and 5242

(i) The LCM of 5242 and 5234 is associative

LCM of 5234 and 5242 = LCM of 5242 and 5234

Related Least Common Multiples of 5234

Related Least Common Multiples of 5242

Frequently Asked Questions on LCM of 5234 and 5242

1. What is the LCM of 5234 and 5242?

Answer: LCM of 5234 and 5242 is 13718314.

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 5242?

Answer: Factors of 5242 are 1, 2, 2621, 5242. There are 4 integers that are factors of 5242. The greatest factor of 5242 is 5242.

4. How to Find the LCM of 5234 and 5242?

Answer:

Least Common Multiple of 5234 and 5242 = 13718314

Step 1: Find the prime factorization of 5234

5234 = 2 x 2617

Step 2: Find the prime factorization of 5242

5242 = 2 x 2621

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

LCM = 13718314 = 2 x 2617 x 2621

Step 4: Therefore, the least common multiple of 5234 and 5242 is 13718314.