Least Common Multiple of 17216 and 17220

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 17216 and 17220 the smallest integer that is 74114880 that is divisible by both numbers.

Least Common Multiple (LCM) of 17216 and 17220 is 74114880.

LCM(17216,17220) = 74114880

LCM of 17216 and 17220

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

LCM of:
and

Least Common Multiple of 17216 and 17220

LCM of 17216 and 17220 is 74114880

Least common multiple can be found by multiplying the highest exponent prime factors of 17216 and 17220. First we will calculate the prime factors of 17216 and 17220.

Prime Factorization of 17216


2 17216
2 8608
2 4304
2 2152
2 1076
2 538
269 269
1

Prime factors of 17216 are 2,269. Prime factorization of 17216 in exponential form is:

17216 = 26×2691

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

Now multiplying the highest exponent prime factors to calculate the LCM of 17216 and 17220.

LCM(17216,17220) = 26×31×51×71×411×2691
LCM(17216,17220) = 74114880

Factors of 17216

List of positive integer factors of 17216 that divides 17216 without a remainder.

1, 2, 4, 8, 16, 32, 64, 269, 538, 1076, 2152, 4304, 8608, 17216

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

Least Common Multiple of 17216 and 17220 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17216 and 17220, than apply into the LCM equation.

GCF(17216,17220) = 4
LCM(17216,17220) = ( 17216 × 17220) / 4
LCM(17216,17220) = 296459520 / 4
LCM(17216,17220) = 74114880

Properties of LCM 17216 and 17220

(i) The LCM of 17220 and 17216 is associative

LCM of 17216 and 17220 = LCM of 17220 and 17216

Related Least Common Multiples of 17216

Related Least Common Multiples of 17220

Frequently Asked Questions on LCM of 17216 and 17220

1. What is the LCM of 17216 and 17220?

Answer: LCM of 17216 and 17220 is 74114880.

2. What are the Factors of 17216?

Answer: Factors of 17216 are 1, 2, 4, 8, 16, 32, 64, 269, 538, 1076, 2152, 4304, 8608, 17216. There are 14 integers that are factors of 17216. The greatest factor of 17216 is 17216.

3. 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.

4. How to Find the LCM of 17216 and 17220?

Answer:

Least Common Multiple of 17216 and 17220 = 74114880

Step 1: Find the prime factorization of 17216

17216 = 2 x 2 x 2 x 2 x 2 x 2 x 269

Step 2: Find the prime factorization of 17220

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

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

LCM = 74114880 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 41 x 269

Step 4: Therefore, the least common multiple of 17216 and 17220 is 74114880.