Least Common Multiple of 17233 and 17240

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 17240 the smallest integer that is 297096920 that is divisible by both numbers.

Least Common Multiple (LCM) of 17233 and 17240 is 297096920.

LCM(17233,17240) = 297096920

LCM of 17233 and 17240

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

LCM of:
and

Least Common Multiple of 17233 and 17240

LCM of 17233 and 17240 is 297096920

Least common multiple can be found by multiplying the highest exponent prime factors of 17233 and 17240. First we will calculate the prime factors of 17233 and 17240.

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 17240


2 17240
2 8620
2 4310
5 2155
431 431
1

Prime factors of 17240 are 2, 5,431. Prime factorization of 17240 in exponential form is:

17240 = 23×51×4311

Now multiplying the highest exponent prime factors to calculate the LCM of 17233 and 17240.

LCM(17233,17240) = 23×51×191×4311×9071
LCM(17233,17240) = 297096920

Factors of 17233

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

1, 19, 907, 17233

Factors of 17240

List of positive integer factors of 17240 that divides 17240 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 431, 862, 1724, 2155, 3448, 4310, 8620, 17240

Least Common Multiple of 17233 and 17240 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 17240, than apply into the LCM equation.

GCF(17233,17240) = 1
LCM(17233,17240) = ( 17233 × 17240) / 1
LCM(17233,17240) = 297096920 / 1
LCM(17233,17240) = 297096920

Properties of LCM 17233 and 17240

(i) The LCM of 17240 and 17233 is associative

LCM of 17233 and 17240 = LCM of 17240 and 17233

Related Least Common Multiples of 17233

Related Least Common Multiples of 17240

Frequently Asked Questions on LCM of 17233 and 17240

1. What is the LCM of 17233 and 17240?

Answer: LCM of 17233 and 17240 is 297096920.

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 17240?

Answer: Factors of 17240 are 1, 2, 4, 5, 8, 10, 20, 40, 431, 862, 1724, 2155, 3448, 4310, 8620, 17240. There are 16 integers that are factors of 17240. The greatest factor of 17240 is 17240.

4. How to Find the LCM of 17233 and 17240?

Answer:

Least Common Multiple of 17233 and 17240 = 297096920

Step 1: Find the prime factorization of 17233

17233 = 19 x 907

Step 2: Find the prime factorization of 17240

17240 = 2 x 2 x 2 x 5 x 431

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

LCM = 297096920 = 2 x 2 x 2 x 5 x 19 x 431 x 907

Step 4: Therefore, the least common multiple of 17233 and 17240 is 297096920.