Least Common Multiple of 17235 and 17242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 17235 and 17242 the smallest integer that is 297165870 that is divisible by both numbers.

Least Common Multiple (LCM) of 17235 and 17242 is 297165870.

LCM(17235,17242) = 297165870

LCM of 17235 and 17242

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

LCM of:
and

Least Common Multiple of 17235 and 17242

LCM of 17235 and 17242 is 297165870

Least common multiple can be found by multiplying the highest exponent prime factors of 17235 and 17242. First we will calculate the prime factors of 17235 and 17242.

Prime Factorization of 17235


3 17235
3 5745
5 1915
383 383
1

Prime factors of 17235 are 3, 5,383. Prime factorization of 17235 in exponential form is:

17235 = 32×51×3831

Prime Factorization of 17242


2 17242
37 8621
233 233
1

Prime factors of 17242 are 2, 37,233. Prime factorization of 17242 in exponential form is:

17242 = 21×371×2331

Now multiplying the highest exponent prime factors to calculate the LCM of 17235 and 17242.

LCM(17235,17242) = 21×32×51×371×2331×3831
LCM(17235,17242) = 297165870

Factors of 17235

List of positive integer factors of 17235 that divides 17235 without a remainder.

1, 3, 5, 9, 15, 45, 383, 1149, 1915, 3447, 5745, 17235

Factors of 17242

List of positive integer factors of 17242 that divides 17242 without a remainder.

1, 2, 37, 74, 233, 466, 8621, 17242

Least Common Multiple of 17235 and 17242 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17235 and 17242, than apply into the LCM equation.

GCF(17235,17242) = 1
LCM(17235,17242) = ( 17235 × 17242) / 1
LCM(17235,17242) = 297165870 / 1
LCM(17235,17242) = 297165870

Properties of LCM 17235 and 17242

(i) The LCM of 17242 and 17235 is associative

LCM of 17235 and 17242 = LCM of 17242 and 17235

Related Least Common Multiples of 17235

Related Least Common Multiples of 17242

Frequently Asked Questions on LCM of 17235 and 17242

1. What is the LCM of 17235 and 17242?

Answer: LCM of 17235 and 17242 is 297165870.

2. What are the Factors of 17235?

Answer: Factors of 17235 are 1, 3, 5, 9, 15, 45, 383, 1149, 1915, 3447, 5745, 17235. There are 12 integers that are factors of 17235. The greatest factor of 17235 is 17235.

3. What are the Factors of 17242?

Answer: Factors of 17242 are 1, 2, 37, 74, 233, 466, 8621, 17242. There are 8 integers that are factors of 17242. The greatest factor of 17242 is 17242.

4. How to Find the LCM of 17235 and 17242?

Answer:

Least Common Multiple of 17235 and 17242 = 297165870

Step 1: Find the prime factorization of 17235

17235 = 3 x 3 x 5 x 383

Step 2: Find the prime factorization of 17242

17242 = 2 x 37 x 233

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

LCM = 297165870 = 2 x 3 x 3 x 5 x 37 x 233 x 383

Step 4: Therefore, the least common multiple of 17235 and 17242 is 297165870.