Least Common Multiple of 5233 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 5233 and 5234 the smallest integer that is 27389522 that is divisible by both numbers.

Least Common Multiple (LCM) of 5233 and 5234 is 27389522.

LCM(5233,5234) = 27389522

LCM of 5233 and 5234

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

LCM of:
and

Least Common Multiple of 5233 and 5234

LCM of 5233 and 5234 is 27389522

Least common multiple can be found by multiplying the highest exponent prime factors of 5233 and 5234. First we will calculate the prime factors of 5233 and 5234.

Prime Factorization of 5233


5233 5233
1

Prime factors of 5233 are 5233. Prime factorization of 5233 in exponential form is:

5233 = 52331

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 5233 and 5234.

LCM(5233,5234) = 21×26171×52331
LCM(5233,5234) = 27389522

Factors of 5233

List of positive integer factors of 5233 that divides 5233 without a remainder.

1, 5233

Factors of 5234

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

1, 2, 2617, 5234

Least Common Multiple of 5233 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 5233 and 5234, than apply into the LCM equation.

GCF(5233,5234) = 1
LCM(5233,5234) = ( 5233 × 5234) / 1
LCM(5233,5234) = 27389522 / 1
LCM(5233,5234) = 27389522

Properties of LCM 5233 and 5234

(i) The LCM of 5234 and 5233 is associative

LCM of 5233 and 5234 = LCM of 5234 and 5233

Related Least Common Multiples of 5233

Related Least Common Multiples of 5234

Frequently Asked Questions on LCM of 5233 and 5234

1. What is the LCM of 5233 and 5234?

Answer: LCM of 5233 and 5234 is 27389522.

2. What are the Factors of 5233?

Answer: Factors of 5233 are 1, 5233. There are 2 integers that are factors of 5233. The greatest factor of 5233 is 5233.

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 5233 and 5234?

Answer:

Least Common Multiple of 5233 and 5234 = 27389522

Step 1: Find the prime factorization of 5233

5233 = 5233

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 = 27389522 = 2 x 2617 x 5233

Step 4: Therefore, the least common multiple of 5233 and 5234 is 27389522.