Least Common Multiple of 5224 and 5230

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 5230 the smallest integer that is 13660760 that is divisible by both numbers.

Least Common Multiple (LCM) of 5224 and 5230 is 13660760.

LCM(5224,5230) = 13660760

LCM of 5224 and 5230

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

LCM of:
and

Least Common Multiple of 5224 and 5230

LCM of 5224 and 5230 is 13660760

Least common multiple can be found by multiplying the highest exponent prime factors of 5224 and 5230. First we will calculate the prime factors of 5224 and 5230.

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 5230


2 5230
5 2615
523 523
1

Prime factors of 5230 are 2, 5,523. Prime factorization of 5230 in exponential form is:

5230 = 21×51×5231

Now multiplying the highest exponent prime factors to calculate the LCM of 5224 and 5230.

LCM(5224,5230) = 23×51×5231×6531
LCM(5224,5230) = 13660760

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 5230

List of positive integer factors of 5230 that divides 5230 without a remainder.

1, 2, 5, 10, 523, 1046, 2615, 5230

Least Common Multiple of 5224 and 5230 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 5230, than apply into the LCM equation.

GCF(5224,5230) = 2
LCM(5224,5230) = ( 5224 × 5230) / 2
LCM(5224,5230) = 27321520 / 2
LCM(5224,5230) = 13660760

Properties of LCM 5224 and 5230

(i) The LCM of 5230 and 5224 is associative

LCM of 5224 and 5230 = LCM of 5230 and 5224

Related Least Common Multiples of 5224

Related Least Common Multiples of 5230

Frequently Asked Questions on LCM of 5224 and 5230

1. What is the LCM of 5224 and 5230?

Answer: LCM of 5224 and 5230 is 13660760.

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 5230?

Answer: Factors of 5230 are 1, 2, 5, 10, 523, 1046, 2615, 5230. There are 8 integers that are factors of 5230. The greatest factor of 5230 is 5230.

4. How to Find the LCM of 5224 and 5230?

Answer:

Least Common Multiple of 5224 and 5230 = 13660760

Step 1: Find the prime factorization of 5224

5224 = 2 x 2 x 2 x 653

Step 2: Find the prime factorization of 5230

5230 = 2 x 5 x 523

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

LCM = 13660760 = 2 x 2 x 2 x 5 x 523 x 653

Step 4: Therefore, the least common multiple of 5224 and 5230 is 13660760.