Least Common Multiple of 5224 and 5231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5224 and 5231 the smallest integer that is 27326744 that is divisible by both numbers.

Least Common Multiple (LCM) of 5224 and 5231 is 27326744.

LCM(5224,5231) = 27326744

LCM of 5224 and 5231

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

LCM of:
and

Least Common Multiple of 5224 and 5231

LCM of 5224 and 5231 is 27326744

Least common multiple can be found by multiplying the highest exponent prime factors of 5224 and 5231. First we will calculate the prime factors of 5224 and 5231.

Prime Factorization of 5224


2 5224
2 2612
2 1306
653 653
1

Prime factors of 5224 are 2,653. Prime factorization of 5224 in exponential form is:

5224 = 23×6531

Prime Factorization of 5231


5231 5231
1

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

5231 = 52311

Now multiplying the highest exponent prime factors to calculate the LCM of 5224 and 5231.

LCM(5224,5231) = 23×6531×52311
LCM(5224,5231) = 27326744

Factors of 5224

List of positive integer factors of 5224 that divides 5224 without a remainder.

1, 2, 4, 8, 653, 1306, 2612, 5224

Factors of 5231

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

1, 5231

Least Common Multiple of 5224 and 5231 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5224 and 5231, than apply into the LCM equation.

GCF(5224,5231) = 1
LCM(5224,5231) = ( 5224 × 5231) / 1
LCM(5224,5231) = 27326744 / 1
LCM(5224,5231) = 27326744

Properties of LCM 5224 and 5231

(i) The LCM of 5231 and 5224 is associative

LCM of 5224 and 5231 = LCM of 5231 and 5224

Related Least Common Multiples of 5224

Related Least Common Multiples of 5231

Frequently Asked Questions on LCM of 5224 and 5231

1. What is the LCM of 5224 and 5231?

Answer: LCM of 5224 and 5231 is 27326744.

2. What are the Factors of 5224?

Answer: Factors of 5224 are 1, 2, 4, 8, 653, 1306, 2612, 5224. There are 8 integers that are factors of 5224. The greatest factor of 5224 is 5224.

3. 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.

4. How to Find the LCM of 5224 and 5231?

Answer:

Least Common Multiple of 5224 and 5231 = 27326744

Step 1: Find the prime factorization of 5224

5224 = 2 x 2 x 2 x 653

Step 2: Find the prime factorization of 5231

5231 = 5231

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

LCM = 27326744 = 2 x 2 x 2 x 653 x 5231

Step 4: Therefore, the least common multiple of 5224 and 5231 is 27326744.