Least Common Multiple of 5229 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 5229 and 5234 the smallest integer that is 27368586 that is divisible by both numbers.

Least Common Multiple (LCM) of 5229 and 5234 is 27368586.

LCM(5229,5234) = 27368586

LCM of 5229 and 5234

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

LCM of:
and

Least Common Multiple of 5229 and 5234

LCM of 5229 and 5234 is 27368586

Least common multiple can be found by multiplying the highest exponent prime factors of 5229 and 5234. First we will calculate the prime factors of 5229 and 5234.

Prime Factorization of 5229


3 5229
3 1743
7 581
83 83
1

Prime factors of 5229 are 3, 7,83. Prime factorization of 5229 in exponential form is:

5229 = 32×71×831

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 5229 and 5234.

LCM(5229,5234) = 21×32×71×831×26171
LCM(5229,5234) = 27368586

Factors of 5229

List of positive integer factors of 5229 that divides 5229 without a remainder.

1, 3, 7, 9, 21, 63, 83, 249, 581, 747, 1743, 5229

Factors of 5234

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

1, 2, 2617, 5234

Least Common Multiple of 5229 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 5229 and 5234, than apply into the LCM equation.

GCF(5229,5234) = 1
LCM(5229,5234) = ( 5229 × 5234) / 1
LCM(5229,5234) = 27368586 / 1
LCM(5229,5234) = 27368586

Properties of LCM 5229 and 5234

(i) The LCM of 5234 and 5229 is associative

LCM of 5229 and 5234 = LCM of 5234 and 5229

Related Least Common Multiples of 5229

Related Least Common Multiples of 5234

Frequently Asked Questions on LCM of 5229 and 5234

1. What is the LCM of 5229 and 5234?

Answer: LCM of 5229 and 5234 is 27368586.

2. What are the Factors of 5229?

Answer: Factors of 5229 are 1, 3, 7, 9, 21, 63, 83, 249, 581, 747, 1743, 5229. There are 12 integers that are factors of 5229. The greatest factor of 5229 is 5229.

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 5229 and 5234?

Answer:

Least Common Multiple of 5229 and 5234 = 27368586

Step 1: Find the prime factorization of 5229

5229 = 3 x 3 x 7 x 83

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 = 27368586 = 2 x 3 x 3 x 7 x 83 x 2617

Step 4: Therefore, the least common multiple of 5229 and 5234 is 27368586.