Least Common Multiple of 17239 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 17239 and 17243 the smallest integer that is 297252077 that is divisible by both numbers.

Least Common Multiple (LCM) of 17239 and 17243 is 297252077.

LCM(17239,17243) = 297252077

LCM of 17239 and 17243

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

LCM of:
and

Least Common Multiple of 17239 and 17243

LCM of 17239 and 17243 is 297252077

Least common multiple can be found by multiplying the highest exponent prime factors of 17239 and 17243. First we will calculate the prime factors of 17239 and 17243.

Prime Factorization of 17239


17239 17239
1

Prime factors of 17239 are 17239. Prime factorization of 17239 in exponential form is:

17239 = 172391

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 17239 and 17243.

LCM(17239,17243) = 431×4011×172391
LCM(17239,17243) = 297252077

Factors of 17239

List of positive integer factors of 17239 that divides 17239 without a remainder.

1, 17239

Factors of 17243

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

1, 43, 401, 17243

Least Common Multiple of 17239 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 17239 and 17243, than apply into the LCM equation.

GCF(17239,17243) = 1
LCM(17239,17243) = ( 17239 × 17243) / 1
LCM(17239,17243) = 297252077 / 1
LCM(17239,17243) = 297252077

Properties of LCM 17239 and 17243

(i) The LCM of 17243 and 17239 is associative

LCM of 17239 and 17243 = LCM of 17243 and 17239

Related Least Common Multiples of 17239

Related Least Common Multiples of 17243

Frequently Asked Questions on LCM of 17239 and 17243

1. What is the LCM of 17239 and 17243?

Answer: LCM of 17239 and 17243 is 297252077.

2. What are the Factors of 17239?

Answer: Factors of 17239 are 1, 17239. There are 2 integers that are factors of 17239. The greatest factor of 17239 is 17239.

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 17239 and 17243?

Answer:

Least Common Multiple of 17239 and 17243 = 297252077

Step 1: Find the prime factorization of 17239

17239 = 17239

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 = 297252077 = 43 x 401 x 17239

Step 4: Therefore, the least common multiple of 17239 and 17243 is 297252077.