Least Common Multiple of 17235 and 17243

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 17243 the smallest integer that is 297183105 that is divisible by both numbers.

Least Common Multiple (LCM) of 17235 and 17243 is 297183105.

LCM(17235,17243) = 297183105

LCM of 17235 and 17243

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

LCM of:
and

Least Common Multiple of 17235 and 17243

LCM of 17235 and 17243 is 297183105

Least common multiple can be found by multiplying the highest exponent prime factors of 17235 and 17243. First we will calculate the prime factors of 17235 and 17243.

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 17243


43 17243
401 401
1

Prime factors of 17243 are 43,401. Prime factorization of 17243 in exponential form is:

17243 = 431×4011

Now multiplying the highest exponent prime factors to calculate the LCM of 17235 and 17243.

LCM(17235,17243) = 32×51×431×3831×4011
LCM(17235,17243) = 297183105

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 17243

List of positive integer factors of 17243 that divides 17243 without a remainder.

1, 43, 401, 17243

Least Common Multiple of 17235 and 17243 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 17243, than apply into the LCM equation.

GCF(17235,17243) = 1
LCM(17235,17243) = ( 17235 × 17243) / 1
LCM(17235,17243) = 297183105 / 1
LCM(17235,17243) = 297183105

Properties of LCM 17235 and 17243

(i) The LCM of 17243 and 17235 is associative

LCM of 17235 and 17243 = LCM of 17243 and 17235

Related Least Common Multiples of 17235

Related Least Common Multiples of 17243

Frequently Asked Questions on LCM of 17235 and 17243

1. What is the LCM of 17235 and 17243?

Answer: LCM of 17235 and 17243 is 297183105.

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 17243?

Answer: Factors of 17243 are 1, 43, 401, 17243. There are 4 integers that are factors of 17243. The greatest factor of 17243 is 17243.

4. How to Find the LCM of 17235 and 17243?

Answer:

Least Common Multiple of 17235 and 17243 = 297183105

Step 1: Find the prime factorization of 17235

17235 = 3 x 3 x 5 x 383

Step 2: Find the prime factorization of 17243

17243 = 43 x 401

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

LCM = 297183105 = 3 x 3 x 5 x 43 x 383 x 401

Step 4: Therefore, the least common multiple of 17235 and 17243 is 297183105.