Least Common Multiple of 17211 and 17218

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 17211 and 17218 the smallest integer that is 296338998 that is divisible by both numbers.

Least Common Multiple (LCM) of 17211 and 17218 is 296338998.

LCM(17211,17218) = 296338998

LCM of 17211 and 17218

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

LCM of:
and

Least Common Multiple of 17211 and 17218

LCM of 17211 and 17218 is 296338998

Least common multiple can be found by multiplying the highest exponent prime factors of 17211 and 17218. First we will calculate the prime factors of 17211 and 17218.

Prime Factorization of 17211


3 17211
5737 5737
1

Prime factors of 17211 are 3,5737. Prime factorization of 17211 in exponential form is:

17211 = 31×57371

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

Now multiplying the highest exponent prime factors to calculate the LCM of 17211 and 17218.

LCM(17211,17218) = 21×31×57371×86091
LCM(17211,17218) = 296338998

Factors of 17211

List of positive integer factors of 17211 that divides 17211 without a remainder.

1, 3, 5737, 17211

Factors of 17218

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

1, 2, 8609, 17218

Least Common Multiple of 17211 and 17218 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17211 and 17218, than apply into the LCM equation.

GCF(17211,17218) = 1
LCM(17211,17218) = ( 17211 × 17218) / 1
LCM(17211,17218) = 296338998 / 1
LCM(17211,17218) = 296338998

Properties of LCM 17211 and 17218

(i) The LCM of 17218 and 17211 is associative

LCM of 17211 and 17218 = LCM of 17218 and 17211

Related Least Common Multiples of 17211

Related Least Common Multiples of 17218

Frequently Asked Questions on LCM of 17211 and 17218

1. What is the LCM of 17211 and 17218?

Answer: LCM of 17211 and 17218 is 296338998.

2. What are the Factors of 17211?

Answer: Factors of 17211 are 1, 3, 5737, 17211. There are 4 integers that are factors of 17211. The greatest factor of 17211 is 17211.

3. 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.

4. How to Find the LCM of 17211 and 17218?

Answer:

Least Common Multiple of 17211 and 17218 = 296338998

Step 1: Find the prime factorization of 17211

17211 = 3 x 5737

Step 2: Find the prime factorization of 17218

17218 = 2 x 8609

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

LCM = 296338998 = 2 x 3 x 5737 x 8609

Step 4: Therefore, the least common multiple of 17211 and 17218 is 296338998.