Least Common Multiple of 17234 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 17234 and 17240 the smallest integer that is 148557080 that is divisible by both numbers.

Least Common Multiple (LCM) of 17234 and 17240 is 148557080.

LCM(17234,17240) = 148557080

LCM of 17234 and 17240

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

LCM of:
and

Least Common Multiple of 17234 and 17240

LCM of 17234 and 17240 is 148557080

Least common multiple can be found by multiplying the highest exponent prime factors of 17234 and 17240. First we will calculate the prime factors of 17234 and 17240.

Prime Factorization of 17234


2 17234
7 8617
1231 1231
1

Prime factors of 17234 are 2, 7,1231. Prime factorization of 17234 in exponential form is:

17234 = 21×71×12311

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 17234 and 17240.

LCM(17234,17240) = 23×51×71×4311×12311
LCM(17234,17240) = 148557080

Factors of 17234

List of positive integer factors of 17234 that divides 17234 without a remainder.

1, 2, 7, 14, 1231, 2462, 8617, 17234

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 17234 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 17234 and 17240, than apply into the LCM equation.

GCF(17234,17240) = 2
LCM(17234,17240) = ( 17234 × 17240) / 2
LCM(17234,17240) = 297114160 / 2
LCM(17234,17240) = 148557080

Properties of LCM 17234 and 17240

(i) The LCM of 17240 and 17234 is associative

LCM of 17234 and 17240 = LCM of 17240 and 17234

Related Least Common Multiples of 17234

Related Least Common Multiples of 17240

Frequently Asked Questions on LCM of 17234 and 17240

1. What is the LCM of 17234 and 17240?

Answer: LCM of 17234 and 17240 is 148557080.

2. What are the Factors of 17234?

Answer: Factors of 17234 are 1, 2, 7, 14, 1231, 2462, 8617, 17234. There are 8 integers that are factors of 17234. The greatest factor of 17234 is 17234.

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 17234 and 17240?

Answer:

Least Common Multiple of 17234 and 17240 = 148557080

Step 1: Find the prime factorization of 17234

17234 = 2 x 7 x 1231

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 = 148557080 = 2 x 2 x 2 x 5 x 7 x 431 x 1231

Step 4: Therefore, the least common multiple of 17234 and 17240 is 148557080.