Least Common Multiple of 17240 and 17244

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 17240 and 17244 the smallest integer that is 74321640 that is divisible by both numbers.

Least Common Multiple (LCM) of 17240 and 17244 is 74321640.

LCM(17240,17244) = 74321640

LCM of 17240 and 17244

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

LCM of:
and

Least Common Multiple of 17240 and 17244

LCM of 17240 and 17244 is 74321640

Least common multiple can be found by multiplying the highest exponent prime factors of 17240 and 17244. First we will calculate the prime factors of 17240 and 17244.

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

Prime Factorization of 17244


2 17244
2 8622
3 4311
3 1437
479 479
1

Prime factors of 17244 are 2, 3,479. Prime factorization of 17244 in exponential form is:

17244 = 22×32×4791

Now multiplying the highest exponent prime factors to calculate the LCM of 17240 and 17244.

LCM(17240,17244) = 23×32×51×4311×4791
LCM(17240,17244) = 74321640

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

Factors of 17244

List of positive integer factors of 17244 that divides 17244 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 479, 958, 1437, 1916, 2874, 4311, 5748, 8622, 17244

Least Common Multiple of 17240 and 17244 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17240 and 17244, than apply into the LCM equation.

GCF(17240,17244) = 4
LCM(17240,17244) = ( 17240 × 17244) / 4
LCM(17240,17244) = 297286560 / 4
LCM(17240,17244) = 74321640

Properties of LCM 17240 and 17244

(i) The LCM of 17244 and 17240 is associative

LCM of 17240 and 17244 = LCM of 17244 and 17240

Related Least Common Multiples of 17240

Related Least Common Multiples of 17244

Frequently Asked Questions on LCM of 17240 and 17244

1. What is the LCM of 17240 and 17244?

Answer: LCM of 17240 and 17244 is 74321640.

2. 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.

3. What are the Factors of 17244?

Answer: Factors of 17244 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 479, 958, 1437, 1916, 2874, 4311, 5748, 8622, 17244. There are 18 integers that are factors of 17244. The greatest factor of 17244 is 17244.

4. How to Find the LCM of 17240 and 17244?

Answer:

Least Common Multiple of 17240 and 17244 = 74321640

Step 1: Find the prime factorization of 17240

17240 = 2 x 2 x 2 x 5 x 431

Step 2: Find the prime factorization of 17244

17244 = 2 x 2 x 3 x 3 x 479

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

LCM = 74321640 = 2 x 2 x 2 x 3 x 3 x 5 x 431 x 479

Step 4: Therefore, the least common multiple of 17240 and 17244 is 74321640.