Least Common Multiple of 17220 and 17225

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 17225 the smallest integer that is 59322900 that is divisible by both numbers.

Least Common Multiple (LCM) of 17220 and 17225 is 59322900.

LCM(17220,17225) = 59322900

LCM of 17220 and 17225

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

LCM of:
and

Least Common Multiple of 17220 and 17225

LCM of 17220 and 17225 is 59322900

Least common multiple can be found by multiplying the highest exponent prime factors of 17220 and 17225. First we will calculate the prime factors of 17220 and 17225.

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 17225


5 17225
5 3445
13 689
53 53
1

Prime factors of 17225 are 5, 13,53. Prime factorization of 17225 in exponential form is:

17225 = 52×131×531

Now multiplying the highest exponent prime factors to calculate the LCM of 17220 and 17225.

LCM(17220,17225) = 22×31×52×71×131×411×531
LCM(17220,17225) = 59322900

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 17225

List of positive integer factors of 17225 that divides 17225 without a remainder.

1, 5, 13, 25, 53, 65, 265, 325, 689, 1325, 3445, 17225

Least Common Multiple of 17220 and 17225 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 17225, than apply into the LCM equation.

GCF(17220,17225) = 5
LCM(17220,17225) = ( 17220 × 17225) / 5
LCM(17220,17225) = 296614500 / 5
LCM(17220,17225) = 59322900

Properties of LCM 17220 and 17225

(i) The LCM of 17225 and 17220 is associative

LCM of 17220 and 17225 = LCM of 17225 and 17220

Related Least Common Multiples of 17220

Related Least Common Multiples of 17225

Frequently Asked Questions on LCM of 17220 and 17225

1. What is the LCM of 17220 and 17225?

Answer: LCM of 17220 and 17225 is 59322900.

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 17225?

Answer: Factors of 17225 are 1, 5, 13, 25, 53, 65, 265, 325, 689, 1325, 3445, 17225. There are 12 integers that are factors of 17225. The greatest factor of 17225 is 17225.

4. How to Find the LCM of 17220 and 17225?

Answer:

Least Common Multiple of 17220 and 17225 = 59322900

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 17225

17225 = 5 x 5 x 13 x 53

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

LCM = 59322900 = 2 x 2 x 3 x 5 x 5 x 7 x 13 x 41 x 53

Step 4: Therefore, the least common multiple of 17220 and 17225 is 59322900.