Least Common Multiple of 5226 and 5234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5226 and 5234 the smallest integer that is 13676442 that is divisible by both numbers.

Least Common Multiple (LCM) of 5226 and 5234 is 13676442.

LCM(5226,5234) = 13676442

LCM of 5226 and 5234

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

LCM of:
and

Least Common Multiple of 5226 and 5234

LCM of 5226 and 5234 is 13676442

Least common multiple can be found by multiplying the highest exponent prime factors of 5226 and 5234. First we will calculate the prime factors of 5226 and 5234.

Prime Factorization of 5226


2 5226
3 2613
13 871
67 67
1

Prime factors of 5226 are 2, 3, 13,67. Prime factorization of 5226 in exponential form is:

5226 = 21×31×131×671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5226 and 5234.

LCM(5226,5234) = 21×31×131×671×26171
LCM(5226,5234) = 13676442

Factors of 5226

List of positive integer factors of 5226 that divides 5226 without a remainder.

1, 2, 3, 6, 13, 26, 39, 67, 78, 134, 201, 402, 871, 1742, 2613, 5226

Factors of 5234

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

1, 2, 2617, 5234

Least Common Multiple of 5226 and 5234 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5226 and 5234, than apply into the LCM equation.

GCF(5226,5234) = 2
LCM(5226,5234) = ( 5226 × 5234) / 2
LCM(5226,5234) = 27352884 / 2
LCM(5226,5234) = 13676442

Properties of LCM 5226 and 5234

(i) The LCM of 5234 and 5226 is associative

LCM of 5226 and 5234 = LCM of 5234 and 5226

Related Least Common Multiples of 5226

Related Least Common Multiples of 5234

Frequently Asked Questions on LCM of 5226 and 5234

1. What is the LCM of 5226 and 5234?

Answer: LCM of 5226 and 5234 is 13676442.

2. What are the Factors of 5226?

Answer: Factors of 5226 are 1, 2, 3, 6, 13, 26, 39, 67, 78, 134, 201, 402, 871, 1742, 2613, 5226. There are 16 integers that are factors of 5226. The greatest factor of 5226 is 5226.

3. 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.

4. How to Find the LCM of 5226 and 5234?

Answer:

Least Common Multiple of 5226 and 5234 = 13676442

Step 1: Find the prime factorization of 5226

5226 = 2 x 3 x 13 x 67

Step 2: Find the prime factorization of 5234

5234 = 2 x 2617

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

LCM = 13676442 = 2 x 3 x 13 x 67 x 2617

Step 4: Therefore, the least common multiple of 5226 and 5234 is 13676442.