Least Common Multiple of 15218 and 15224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15218 and 15224 the smallest integer that is 115839416 that is divisible by both numbers.

Least Common Multiple (LCM) of 15218 and 15224 is 115839416.

LCM(15218,15224) = 115839416

LCM of 15218 and 15224

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

LCM of:
and

Least Common Multiple of 15218 and 15224

LCM of 15218 and 15224 is 115839416

Least common multiple can be found by multiplying the highest exponent prime factors of 15218 and 15224. First we will calculate the prime factors of 15218 and 15224.

Prime Factorization of 15218


2 15218
7 7609
1087 1087
1

Prime factors of 15218 are 2, 7,1087. Prime factorization of 15218 in exponential form is:

15218 = 21×71×10871

Prime Factorization of 15224


2 15224
2 7612
2 3806
11 1903
173 173
1

Prime factors of 15224 are 2, 11,173. Prime factorization of 15224 in exponential form is:

15224 = 23×111×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 15218 and 15224.

LCM(15218,15224) = 23×71×111×1731×10871
LCM(15218,15224) = 115839416

Factors of 15218

List of positive integer factors of 15218 that divides 15218 without a remainder.

1, 2, 7, 14, 1087, 2174, 7609, 15218

Factors of 15224

List of positive integer factors of 15224 that divides 15224 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 173, 346, 692, 1384, 1903, 3806, 7612, 15224

Least Common Multiple of 15218 and 15224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15218 and 15224, than apply into the LCM equation.

GCF(15218,15224) = 2
LCM(15218,15224) = ( 15218 × 15224) / 2
LCM(15218,15224) = 231678832 / 2
LCM(15218,15224) = 115839416

Properties of LCM 15218 and 15224

(i) The LCM of 15224 and 15218 is associative

LCM of 15218 and 15224 = LCM of 15224 and 15218

Related Least Common Multiples of 15218

Related Least Common Multiples of 15224

Frequently Asked Questions on LCM of 15218 and 15224

1. What is the LCM of 15218 and 15224?

Answer: LCM of 15218 and 15224 is 115839416.

2. What are the Factors of 15218?

Answer: Factors of 15218 are 1, 2, 7, 14, 1087, 2174, 7609, 15218. There are 8 integers that are factors of 15218. The greatest factor of 15218 is 15218.

3. What are the Factors of 15224?

Answer: Factors of 15224 are 1, 2, 4, 8, 11, 22, 44, 88, 173, 346, 692, 1384, 1903, 3806, 7612, 15224. There are 16 integers that are factors of 15224. The greatest factor of 15224 is 15224.

4. How to Find the LCM of 15218 and 15224?

Answer:

Least Common Multiple of 15218 and 15224 = 115839416

Step 1: Find the prime factorization of 15218

15218 = 2 x 7 x 1087

Step 2: Find the prime factorization of 15224

15224 = 2 x 2 x 2 x 11 x 173

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

LCM = 115839416 = 2 x 2 x 2 x 7 x 11 x 173 x 1087

Step 4: Therefore, the least common multiple of 15218 and 15224 is 115839416.