Least Common Multiple of 17252 and 17258

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 17252 and 17258 the smallest integer that is 148867508 that is divisible by both numbers.

Least Common Multiple (LCM) of 17252 and 17258 is 148867508.

LCM(17252,17258) = 148867508

LCM of 17252 and 17258

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

LCM of:
and

Least Common Multiple of 17252 and 17258

LCM of 17252 and 17258 is 148867508

Least common multiple can be found by multiplying the highest exponent prime factors of 17252 and 17258. First we will calculate the prime factors of 17252 and 17258.

Prime Factorization of 17252


2 17252
2 8626
19 4313
227 227
1

Prime factors of 17252 are 2, 19,227. Prime factorization of 17252 in exponential form is:

17252 = 22×191×2271

Prime Factorization of 17258


2 17258
8629 8629
1

Prime factors of 17258 are 2,8629. Prime factorization of 17258 in exponential form is:

17258 = 21×86291

Now multiplying the highest exponent prime factors to calculate the LCM of 17252 and 17258.

LCM(17252,17258) = 22×191×2271×86291
LCM(17252,17258) = 148867508

Factors of 17252

List of positive integer factors of 17252 that divides 17252 without a remainder.

1, 2, 4, 19, 38, 76, 227, 454, 908, 4313, 8626, 17252

Factors of 17258

List of positive integer factors of 17258 that divides 17258 without a remainder.

1, 2, 8629, 17258

Least Common Multiple of 17252 and 17258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17252 and 17258, than apply into the LCM equation.

GCF(17252,17258) = 2
LCM(17252,17258) = ( 17252 × 17258) / 2
LCM(17252,17258) = 297735016 / 2
LCM(17252,17258) = 148867508

Properties of LCM 17252 and 17258

(i) The LCM of 17258 and 17252 is associative

LCM of 17252 and 17258 = LCM of 17258 and 17252

Related Least Common Multiples of 17252

Related Least Common Multiples of 17258

Frequently Asked Questions on LCM of 17252 and 17258

1. What is the LCM of 17252 and 17258?

Answer: LCM of 17252 and 17258 is 148867508.

2. What are the Factors of 17252?

Answer: Factors of 17252 are 1, 2, 4, 19, 38, 76, 227, 454, 908, 4313, 8626, 17252. There are 12 integers that are factors of 17252. The greatest factor of 17252 is 17252.

3. What are the Factors of 17258?

Answer: Factors of 17258 are 1, 2, 8629, 17258. There are 4 integers that are factors of 17258. The greatest factor of 17258 is 17258.

4. How to Find the LCM of 17252 and 17258?

Answer:

Least Common Multiple of 17252 and 17258 = 148867508

Step 1: Find the prime factorization of 17252

17252 = 2 x 2 x 19 x 227

Step 2: Find the prime factorization of 17258

17258 = 2 x 8629

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

LCM = 148867508 = 2 x 2 x 19 x 227 x 8629

Step 4: Therefore, the least common multiple of 17252 and 17258 is 148867508.