Least Common Multiple of 17342 and 17350

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 17342 and 17350 the smallest integer that is 150441850 that is divisible by both numbers.

Least Common Multiple (LCM) of 17342 and 17350 is 150441850.

LCM(17342,17350) = 150441850

LCM of 17342 and 17350

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

LCM of:
and

Least Common Multiple of 17342 and 17350

LCM of 17342 and 17350 is 150441850

Least common multiple can be found by multiplying the highest exponent prime factors of 17342 and 17350. First we will calculate the prime factors of 17342 and 17350.

Prime Factorization of 17342


2 17342
13 8671
23 667
29 29
1

Prime factors of 17342 are 2, 13, 23,29. Prime factorization of 17342 in exponential form is:

17342 = 21×131×231×291

Prime Factorization of 17350


2 17350
5 8675
5 1735
347 347
1

Prime factors of 17350 are 2, 5,347. Prime factorization of 17350 in exponential form is:

17350 = 21×52×3471

Now multiplying the highest exponent prime factors to calculate the LCM of 17342 and 17350.

LCM(17342,17350) = 21×52×131×231×291×3471
LCM(17342,17350) = 150441850

Factors of 17342

List of positive integer factors of 17342 that divides 17342 without a remainder.

1, 2, 13, 23, 26, 29, 46, 58, 299, 377, 598, 667, 754, 1334, 8671, 17342

Factors of 17350

List of positive integer factors of 17350 that divides 17350 without a remainder.

1, 2, 5, 10, 25, 50, 347, 694, 1735, 3470, 8675, 17350

Least Common Multiple of 17342 and 17350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17342 and 17350, than apply into the LCM equation.

GCF(17342,17350) = 2
LCM(17342,17350) = ( 17342 × 17350) / 2
LCM(17342,17350) = 300883700 / 2
LCM(17342,17350) = 150441850

Properties of LCM 17342 and 17350

(i) The LCM of 17350 and 17342 is associative

LCM of 17342 and 17350 = LCM of 17350 and 17342

Related Least Common Multiples of 17342

Related Least Common Multiples of 17350

Frequently Asked Questions on LCM of 17342 and 17350

1. What is the LCM of 17342 and 17350?

Answer: LCM of 17342 and 17350 is 150441850.

2. What are the Factors of 17342?

Answer: Factors of 17342 are 1, 2, 13, 23, 26, 29, 46, 58, 299, 377, 598, 667, 754, 1334, 8671, 17342. There are 16 integers that are factors of 17342. The greatest factor of 17342 is 17342.

3. What are the Factors of 17350?

Answer: Factors of 17350 are 1, 2, 5, 10, 25, 50, 347, 694, 1735, 3470, 8675, 17350. There are 12 integers that are factors of 17350. The greatest factor of 17350 is 17350.

4. How to Find the LCM of 17342 and 17350?

Answer:

Least Common Multiple of 17342 and 17350 = 150441850

Step 1: Find the prime factorization of 17342

17342 = 2 x 13 x 23 x 29

Step 2: Find the prime factorization of 17350

17350 = 2 x 5 x 5 x 347

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

LCM = 150441850 = 2 x 5 x 5 x 13 x 23 x 29 x 347

Step 4: Therefore, the least common multiple of 17342 and 17350 is 150441850.