Least Common Multiple of 17220 and 17224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 17220 and 17224 the smallest integer that is 74149320 that is divisible by both numbers.

Least Common Multiple (LCM) of 17220 and 17224 is 74149320.

LCM(17220,17224) = 74149320

LCM of 17220 and 17224

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

LCM of:
and

Least Common Multiple of 17220 and 17224

LCM of 17220 and 17224 is 74149320

Least common multiple can be found by multiplying the highest exponent prime factors of 17220 and 17224. First we will calculate the prime factors of 17220 and 17224.

Prime Factorization of 17220


2 17220
2 8610
3 4305
5 1435
7 287
41 41
1

Prime factors of 17220 are 2, 3, 5, 7,41. Prime factorization of 17220 in exponential form is:

17220 = 22×31×51×71×411

Prime Factorization of 17224


2 17224
2 8612
2 4306
2153 2153
1

Prime factors of 17224 are 2,2153. Prime factorization of 17224 in exponential form is:

17224 = 23×21531

Now multiplying the highest exponent prime factors to calculate the LCM of 17220 and 17224.

LCM(17220,17224) = 23×31×51×71×411×21531
LCM(17220,17224) = 74149320

Factors of 17220

List of positive integer factors of 17220 that divides 17220 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 41, 42, 60, 70, 82, 84, 105, 123, 140, 164, 205, 210, 246, 287, 410, 420, 492, 574, 615, 820, 861, 1148, 1230, 1435, 1722, 2460, 2870, 3444, 4305, 5740, 8610, 17220

Factors of 17224

List of positive integer factors of 17224 that divides 17224 without a remainder.

1, 2, 4, 8, 2153, 4306, 8612, 17224

Least Common Multiple of 17220 and 17224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17220 and 17224, than apply into the LCM equation.

GCF(17220,17224) = 4
LCM(17220,17224) = ( 17220 × 17224) / 4
LCM(17220,17224) = 296597280 / 4
LCM(17220,17224) = 74149320

Properties of LCM 17220 and 17224

(i) The LCM of 17224 and 17220 is associative

LCM of 17220 and 17224 = LCM of 17224 and 17220

Related Least Common Multiples of 17220

Related Least Common Multiples of 17224

Frequently Asked Questions on LCM of 17220 and 17224

1. What is the LCM of 17220 and 17224?

Answer: LCM of 17220 and 17224 is 74149320.

2. What are the Factors of 17220?

Answer: Factors of 17220 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 41, 42, 60, 70, 82, 84, 105, 123, 140, 164, 205, 210, 246, 287, 410, 420, 492, 574, 615, 820, 861, 1148, 1230, 1435, 1722, 2460, 2870, 3444, 4305, 5740, 8610, 17220. There are 48 integers that are factors of 17220. The greatest factor of 17220 is 17220.

3. What are the Factors of 17224?

Answer: Factors of 17224 are 1, 2, 4, 8, 2153, 4306, 8612, 17224. There are 8 integers that are factors of 17224. The greatest factor of 17224 is 17224.

4. How to Find the LCM of 17220 and 17224?

Answer:

Least Common Multiple of 17220 and 17224 = 74149320

Step 1: Find the prime factorization of 17220

17220 = 2 x 2 x 3 x 5 x 7 x 41

Step 2: Find the prime factorization of 17224

17224 = 2 x 2 x 2 x 2153

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

LCM = 74149320 = 2 x 2 x 2 x 3 x 5 x 7 x 41 x 2153

Step 4: Therefore, the least common multiple of 17220 and 17224 is 74149320.