Least Common Multiple of 17322 and 17327

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 17322 and 17327 the smallest integer that is 300138294 that is divisible by both numbers.

Least Common Multiple (LCM) of 17322 and 17327 is 300138294.

LCM(17322,17327) = 300138294

LCM of 17322 and 17327

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

LCM of:
and

Least Common Multiple of 17322 and 17327

LCM of 17322 and 17327 is 300138294

Least common multiple can be found by multiplying the highest exponent prime factors of 17322 and 17327. First we will calculate the prime factors of 17322 and 17327.

Prime Factorization of 17322


2 17322
3 8661
2887 2887
1

Prime factors of 17322 are 2, 3,2887. Prime factorization of 17322 in exponential form is:

17322 = 21×31×28871

Prime Factorization of 17327


17327 17327
1

Prime factors of 17327 are 17327. Prime factorization of 17327 in exponential form is:

17327 = 173271

Now multiplying the highest exponent prime factors to calculate the LCM of 17322 and 17327.

LCM(17322,17327) = 21×31×28871×173271
LCM(17322,17327) = 300138294

Factors of 17322

List of positive integer factors of 17322 that divides 17322 without a remainder.

1, 2, 3, 6, 2887, 5774, 8661, 17322

Factors of 17327

List of positive integer factors of 17327 that divides 17327 without a remainder.

1, 17327

Least Common Multiple of 17322 and 17327 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17322 and 17327, than apply into the LCM equation.

GCF(17322,17327) = 1
LCM(17322,17327) = ( 17322 × 17327) / 1
LCM(17322,17327) = 300138294 / 1
LCM(17322,17327) = 300138294

Properties of LCM 17322 and 17327

(i) The LCM of 17327 and 17322 is associative

LCM of 17322 and 17327 = LCM of 17327 and 17322

Related Least Common Multiples of 17322

Related Least Common Multiples of 17327

Frequently Asked Questions on LCM of 17322 and 17327

1. What is the LCM of 17322 and 17327?

Answer: LCM of 17322 and 17327 is 300138294.

2. What are the Factors of 17322?

Answer: Factors of 17322 are 1, 2, 3, 6, 2887, 5774, 8661, 17322. There are 8 integers that are factors of 17322. The greatest factor of 17322 is 17322.

3. What are the Factors of 17327?

Answer: Factors of 17327 are 1, 17327. There are 2 integers that are factors of 17327. The greatest factor of 17327 is 17327.

4. How to Find the LCM of 17322 and 17327?

Answer:

Least Common Multiple of 17322 and 17327 = 300138294

Step 1: Find the prime factorization of 17322

17322 = 2 x 3 x 2887

Step 2: Find the prime factorization of 17327

17327 = 17327

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

LCM = 300138294 = 2 x 3 x 2887 x 17327

Step 4: Therefore, the least common multiple of 17322 and 17327 is 300138294.