Least Common Multiple of 5231 and 5235

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 5235 the smallest integer that is 27384285 that is divisible by both numbers.

Least Common Multiple (LCM) of 5231 and 5235 is 27384285.

LCM(5231,5235) = 27384285

LCM of 5231 and 5235

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

LCM of:
and

Least Common Multiple of 5231 and 5235

LCM of 5231 and 5235 is 27384285

Least common multiple can be found by multiplying the highest exponent prime factors of 5231 and 5235. First we will calculate the prime factors of 5231 and 5235.

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 5235


3 5235
5 1745
349 349
1

Prime factors of 5235 are 3, 5,349. Prime factorization of 5235 in exponential form is:

5235 = 31×51×3491

Now multiplying the highest exponent prime factors to calculate the LCM of 5231 and 5235.

LCM(5231,5235) = 31×51×3491×52311
LCM(5231,5235) = 27384285

Factors of 5231

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

1, 5231

Factors of 5235

List of positive integer factors of 5235 that divides 5235 without a remainder.

1, 3, 5, 15, 349, 1047, 1745, 5235

Least Common Multiple of 5231 and 5235 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 5235, than apply into the LCM equation.

GCF(5231,5235) = 1
LCM(5231,5235) = ( 5231 × 5235) / 1
LCM(5231,5235) = 27384285 / 1
LCM(5231,5235) = 27384285

Properties of LCM 5231 and 5235

(i) The LCM of 5235 and 5231 is associative

LCM of 5231 and 5235 = LCM of 5235 and 5231

Related Least Common Multiples of 5231

Related Least Common Multiples of 5235

Frequently Asked Questions on LCM of 5231 and 5235

1. What is the LCM of 5231 and 5235?

Answer: LCM of 5231 and 5235 is 27384285.

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 5235?

Answer: Factors of 5235 are 1, 3, 5, 15, 349, 1047, 1745, 5235. There are 8 integers that are factors of 5235. The greatest factor of 5235 is 5235.

4. How to Find the LCM of 5231 and 5235?

Answer:

Least Common Multiple of 5231 and 5235 = 27384285

Step 1: Find the prime factorization of 5231

5231 = 5231

Step 2: Find the prime factorization of 5235

5235 = 3 x 5 x 349

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

LCM = 27384285 = 3 x 5 x 349 x 5231

Step 4: Therefore, the least common multiple of 5231 and 5235 is 27384285.