Least Common Multiple of 17220 and 17226

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 17226 the smallest integer that is 49438620 that is divisible by both numbers.

Least Common Multiple (LCM) of 17220 and 17226 is 49438620.

LCM(17220,17226) = 49438620

LCM of 17220 and 17226

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

LCM of:
and

Least Common Multiple of 17220 and 17226

LCM of 17220 and 17226 is 49438620

Least common multiple can be found by multiplying the highest exponent prime factors of 17220 and 17226. First we will calculate the prime factors of 17220 and 17226.

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 17226


2 17226
3 8613
3 2871
3 957
11 319
29 29
1

Prime factors of 17226 are 2, 3, 11,29. Prime factorization of 17226 in exponential form is:

17226 = 21×33×111×291

Now multiplying the highest exponent prime factors to calculate the LCM of 17220 and 17226.

LCM(17220,17226) = 22×33×51×71×111×291×411
LCM(17220,17226) = 49438620

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 17226

List of positive integer factors of 17226 that divides 17226 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 29, 33, 54, 58, 66, 87, 99, 174, 198, 261, 297, 319, 522, 594, 638, 783, 957, 1566, 1914, 2871, 5742, 8613, 17226

Least Common Multiple of 17220 and 17226 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 17226, than apply into the LCM equation.

GCF(17220,17226) = 6
LCM(17220,17226) = ( 17220 × 17226) / 6
LCM(17220,17226) = 296631720 / 6
LCM(17220,17226) = 49438620

Properties of LCM 17220 and 17226

(i) The LCM of 17226 and 17220 is associative

LCM of 17220 and 17226 = LCM of 17226 and 17220

Related Least Common Multiples of 17220

Related Least Common Multiples of 17226

Frequently Asked Questions on LCM of 17220 and 17226

1. What is the LCM of 17220 and 17226?

Answer: LCM of 17220 and 17226 is 49438620.

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 17226?

Answer: Factors of 17226 are 1, 2, 3, 6, 9, 11, 18, 22, 27, 29, 33, 54, 58, 66, 87, 99, 174, 198, 261, 297, 319, 522, 594, 638, 783, 957, 1566, 1914, 2871, 5742, 8613, 17226. There are 32 integers that are factors of 17226. The greatest factor of 17226 is 17226.

4. How to Find the LCM of 17220 and 17226?

Answer:

Least Common Multiple of 17220 and 17226 = 49438620

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 17226

17226 = 2 x 3 x 3 x 3 x 11 x 29

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

LCM = 49438620 = 2 x 2 x 3 x 3 x 3 x 5 x 7 x 11 x 29 x 41

Step 4: Therefore, the least common multiple of 17220 and 17226 is 49438620.