Least Common Multiple of 5224 and 5229

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 5229 the smallest integer that is 27316296 that is divisible by both numbers.

Least Common Multiple (LCM) of 5224 and 5229 is 27316296.

LCM(5224,5229) = 27316296

LCM of 5224 and 5229

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

LCM of:
and

Least Common Multiple of 5224 and 5229

LCM of 5224 and 5229 is 27316296

Least common multiple can be found by multiplying the highest exponent prime factors of 5224 and 5229. First we will calculate the prime factors of 5224 and 5229.

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 5229


3 5229
3 1743
7 581
83 83
1

Prime factors of 5229 are 3, 7,83. Prime factorization of 5229 in exponential form is:

5229 = 32×71×831

Now multiplying the highest exponent prime factors to calculate the LCM of 5224 and 5229.

LCM(5224,5229) = 23×32×71×831×6531
LCM(5224,5229) = 27316296

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 5229

List of positive integer factors of 5229 that divides 5229 without a remainder.

1, 3, 7, 9, 21, 63, 83, 249, 581, 747, 1743, 5229

Least Common Multiple of 5224 and 5229 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 5229, than apply into the LCM equation.

GCF(5224,5229) = 1
LCM(5224,5229) = ( 5224 × 5229) / 1
LCM(5224,5229) = 27316296 / 1
LCM(5224,5229) = 27316296

Properties of LCM 5224 and 5229

(i) The LCM of 5229 and 5224 is associative

LCM of 5224 and 5229 = LCM of 5229 and 5224

Related Least Common Multiples of 5224

Related Least Common Multiples of 5229

Frequently Asked Questions on LCM of 5224 and 5229

1. What is the LCM of 5224 and 5229?

Answer: LCM of 5224 and 5229 is 27316296.

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 5229?

Answer: Factors of 5229 are 1, 3, 7, 9, 21, 63, 83, 249, 581, 747, 1743, 5229. There are 12 integers that are factors of 5229. The greatest factor of 5229 is 5229.

4. How to Find the LCM of 5224 and 5229?

Answer:

Least Common Multiple of 5224 and 5229 = 27316296

Step 1: Find the prime factorization of 5224

5224 = 2 x 2 x 2 x 653

Step 2: Find the prime factorization of 5229

5229 = 3 x 3 x 7 x 83

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

LCM = 27316296 = 2 x 2 x 2 x 3 x 3 x 7 x 83 x 653

Step 4: Therefore, the least common multiple of 5224 and 5229 is 27316296.