Least Common Multiple of 17233 and 17239

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 17233 and 17239 the smallest integer that is 297079687 that is divisible by both numbers.

Least Common Multiple (LCM) of 17233 and 17239 is 297079687.

LCM(17233,17239) = 297079687

LCM of 17233 and 17239

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

LCM of:
and

Least Common Multiple of 17233 and 17239

LCM of 17233 and 17239 is 297079687

Least common multiple can be found by multiplying the highest exponent prime factors of 17233 and 17239. First we will calculate the prime factors of 17233 and 17239.

Prime Factorization of 17233


19 17233
907 907
1

Prime factors of 17233 are 19,907. Prime factorization of 17233 in exponential form is:

17233 = 191×9071

Prime Factorization of 17239


17239 17239
1

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

17239 = 172391

Now multiplying the highest exponent prime factors to calculate the LCM of 17233 and 17239.

LCM(17233,17239) = 191×9071×172391
LCM(17233,17239) = 297079687

Factors of 17233

List of positive integer factors of 17233 that divides 17233 without a remainder.

1, 19, 907, 17233

Factors of 17239

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

1, 17239

Least Common Multiple of 17233 and 17239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17233 and 17239, than apply into the LCM equation.

GCF(17233,17239) = 1
LCM(17233,17239) = ( 17233 × 17239) / 1
LCM(17233,17239) = 297079687 / 1
LCM(17233,17239) = 297079687

Properties of LCM 17233 and 17239

(i) The LCM of 17239 and 17233 is associative

LCM of 17233 and 17239 = LCM of 17239 and 17233

Related Least Common Multiples of 17233

Related Least Common Multiples of 17239

Frequently Asked Questions on LCM of 17233 and 17239

1. What is the LCM of 17233 and 17239?

Answer: LCM of 17233 and 17239 is 297079687.

2. What are the Factors of 17233?

Answer: Factors of 17233 are 1, 19, 907, 17233. There are 4 integers that are factors of 17233. The greatest factor of 17233 is 17233.

3. 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.

4. How to Find the LCM of 17233 and 17239?

Answer:

Least Common Multiple of 17233 and 17239 = 297079687

Step 1: Find the prime factorization of 17233

17233 = 19 x 907

Step 2: Find the prime factorization of 17239

17239 = 17239

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

LCM = 297079687 = 19 x 907 x 17239

Step 4: Therefore, the least common multiple of 17233 and 17239 is 297079687.