Least Common Multiple of 17235 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 17235 and 17240 the smallest integer that is 59426280 that is divisible by both numbers.

Least Common Multiple (LCM) of 17235 and 17240 is 59426280.

LCM(17235,17240) = 59426280

LCM of 17235 and 17240

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

LCM of:
and

Least Common Multiple of 17235 and 17240

LCM of 17235 and 17240 is 59426280

Least common multiple can be found by multiplying the highest exponent prime factors of 17235 and 17240. First we will calculate the prime factors of 17235 and 17240.

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 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 17235 and 17240.

LCM(17235,17240) = 23×32×51×3831×4311
LCM(17235,17240) = 59426280

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 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 17235 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 17235 and 17240, than apply into the LCM equation.

GCF(17235,17240) = 5
LCM(17235,17240) = ( 17235 × 17240) / 5
LCM(17235,17240) = 297131400 / 5
LCM(17235,17240) = 59426280

Properties of LCM 17235 and 17240

(i) The LCM of 17240 and 17235 is associative

LCM of 17235 and 17240 = LCM of 17240 and 17235

Related Least Common Multiples of 17235

Related Least Common Multiples of 17240

Frequently Asked Questions on LCM of 17235 and 17240

1. What is the LCM of 17235 and 17240?

Answer: LCM of 17235 and 17240 is 59426280.

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 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 17235 and 17240?

Answer:

Least Common Multiple of 17235 and 17240 = 59426280

Step 1: Find the prime factorization of 17235

17235 = 3 x 3 x 5 x 383

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 = 59426280 = 2 x 2 x 2 x 3 x 3 x 5 x 383 x 431

Step 4: Therefore, the least common multiple of 17235 and 17240 is 59426280.