Least Common Multiple of 17218 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 17218 and 17220 the smallest integer that is 148246980 that is divisible by both numbers.

Least Common Multiple (LCM) of 17218 and 17220 is 148246980.

LCM(17218,17220) = 148246980

LCM of 17218 and 17220

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

LCM of:
and

Least Common Multiple of 17218 and 17220

LCM of 17218 and 17220 is 148246980

Least common multiple can be found by multiplying the highest exponent prime factors of 17218 and 17220. First we will calculate the prime factors of 17218 and 17220.

Prime Factorization of 17218


2 17218
8609 8609
1

Prime factors of 17218 are 2,8609. Prime factorization of 17218 in exponential form is:

17218 = 21×86091

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 17218 and 17220.

LCM(17218,17220) = 22×31×51×71×411×86091
LCM(17218,17220) = 148246980

Factors of 17218

List of positive integer factors of 17218 that divides 17218 without a remainder.

1, 2, 8609, 17218

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 17218 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 17218 and 17220, than apply into the LCM equation.

GCF(17218,17220) = 2
LCM(17218,17220) = ( 17218 × 17220) / 2
LCM(17218,17220) = 296493960 / 2
LCM(17218,17220) = 148246980

Properties of LCM 17218 and 17220

(i) The LCM of 17220 and 17218 is associative

LCM of 17218 and 17220 = LCM of 17220 and 17218

Related Least Common Multiples of 17218

Related Least Common Multiples of 17220

Frequently Asked Questions on LCM of 17218 and 17220

1. What is the LCM of 17218 and 17220?

Answer: LCM of 17218 and 17220 is 148246980.

2. What are the Factors of 17218?

Answer: Factors of 17218 are 1, 2, 8609, 17218. There are 4 integers that are factors of 17218. The greatest factor of 17218 is 17218.

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 17218 and 17220?

Answer:

Least Common Multiple of 17218 and 17220 = 148246980

Step 1: Find the prime factorization of 17218

17218 = 2 x 8609

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 = 148246980 = 2 x 2 x 3 x 5 x 7 x 41 x 8609

Step 4: Therefore, the least common multiple of 17218 and 17220 is 148246980.