Least Common Multiple of 5231 and 5233

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5231 and 5233 the smallest integer that is 27373823 that is divisible by both numbers.

Least Common Multiple (LCM) of 5231 and 5233 is 27373823.

LCM(5231,5233) = 27373823

LCM of 5231 and 5233

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

LCM of:
and

Least Common Multiple of 5231 and 5233

LCM of 5231 and 5233 is 27373823

Least common multiple can be found by multiplying the highest exponent prime factors of 5231 and 5233. First we will calculate the prime factors of 5231 and 5233.

Prime Factorization of 5231


5231 5231
1

Prime factors of 5231 are 5231. Prime factorization of 5231 in exponential form is:

5231 = 52311

Prime Factorization of 5233


5233 5233
1

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

5233 = 52331

Now multiplying the highest exponent prime factors to calculate the LCM of 5231 and 5233.

LCM(5231,5233) = 52311×52331
LCM(5231,5233) = 27373823

Factors of 5231

List of positive integer factors of 5231 that divides 5231 without a remainder.

1, 5231

Factors of 5233

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

1, 5233

Least Common Multiple of 5231 and 5233 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5231 and 5233, than apply into the LCM equation.

GCF(5231,5233) = 1
LCM(5231,5233) = ( 5231 × 5233) / 1
LCM(5231,5233) = 27373823 / 1
LCM(5231,5233) = 27373823

Properties of LCM 5231 and 5233

(i) The LCM of 5233 and 5231 is associative

LCM of 5231 and 5233 = LCM of 5233 and 5231

Related Least Common Multiples of 5231

Related Least Common Multiples of 5233

Frequently Asked Questions on LCM of 5231 and 5233

1. What is the LCM of 5231 and 5233?

Answer: LCM of 5231 and 5233 is 27373823.

2. What are the Factors of 5231?

Answer: Factors of 5231 are 1, 5231. There are 2 integers that are factors of 5231. The greatest factor of 5231 is 5231.

3. 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.

4. How to Find the LCM of 5231 and 5233?

Answer:

Least Common Multiple of 5231 and 5233 = 27373823

Step 1: Find the prime factorization of 5231

5231 = 5231

Step 2: Find the prime factorization of 5233

5233 = 5233

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

LCM = 27373823 = 5231 x 5233

Step 4: Therefore, the least common multiple of 5231 and 5233 is 27373823.