Least Common Multiple of 17253 and 17257

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 17253 and 17257 the smallest integer that is 297735021 that is divisible by both numbers.

Least Common Multiple (LCM) of 17253 and 17257 is 297735021.

LCM(17253,17257) = 297735021

LCM of 17253 and 17257

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

LCM of:
and

Least Common Multiple of 17253 and 17257

LCM of 17253 and 17257 is 297735021

Least common multiple can be found by multiplying the highest exponent prime factors of 17253 and 17257. First we will calculate the prime factors of 17253 and 17257.

Prime Factorization of 17253


3 17253
3 5751
3 1917
3 639
3 213
71 71
1

Prime factors of 17253 are 3,71. Prime factorization of 17253 in exponential form is:

17253 = 35×711

Prime Factorization of 17257


17257 17257
1

Prime factors of 17257 are 17257. Prime factorization of 17257 in exponential form is:

17257 = 172571

Now multiplying the highest exponent prime factors to calculate the LCM of 17253 and 17257.

LCM(17253,17257) = 35×711×172571
LCM(17253,17257) = 297735021

Factors of 17253

List of positive integer factors of 17253 that divides 17253 without a remainder.

1, 3, 9, 27, 71, 81, 213, 243, 639, 1917, 5751, 17253

Factors of 17257

List of positive integer factors of 17257 that divides 17257 without a remainder.

1, 17257

Least Common Multiple of 17253 and 17257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17253 and 17257, than apply into the LCM equation.

GCF(17253,17257) = 1
LCM(17253,17257) = ( 17253 × 17257) / 1
LCM(17253,17257) = 297735021 / 1
LCM(17253,17257) = 297735021

Properties of LCM 17253 and 17257

(i) The LCM of 17257 and 17253 is associative

LCM of 17253 and 17257 = LCM of 17257 and 17253

Related Least Common Multiples of 17253

Related Least Common Multiples of 17257

Frequently Asked Questions on LCM of 17253 and 17257

1. What is the LCM of 17253 and 17257?

Answer: LCM of 17253 and 17257 is 297735021.

2. What are the Factors of 17253?

Answer: Factors of 17253 are 1, 3, 9, 27, 71, 81, 213, 243, 639, 1917, 5751, 17253. There are 12 integers that are factors of 17253. The greatest factor of 17253 is 17253.

3. What are the Factors of 17257?

Answer: Factors of 17257 are 1, 17257. There are 2 integers that are factors of 17257. The greatest factor of 17257 is 17257.

4. How to Find the LCM of 17253 and 17257?

Answer:

Least Common Multiple of 17253 and 17257 = 297735021

Step 1: Find the prime factorization of 17253

17253 = 3 x 3 x 3 x 3 x 3 x 71

Step 2: Find the prime factorization of 17257

17257 = 17257

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

LCM = 297735021 = 3 x 3 x 3 x 3 x 3 x 71 x 17257

Step 4: Therefore, the least common multiple of 17253 and 17257 is 297735021.