Least Common Multiple of 17334 and 17342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 17334 and 17342 the smallest integer that is 150303114 that is divisible by both numbers.

Least Common Multiple (LCM) of 17334 and 17342 is 150303114.

LCM(17334,17342) = 150303114

LCM of 17334 and 17342

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

LCM of:
and

Least Common Multiple of 17334 and 17342

LCM of 17334 and 17342 is 150303114

Least common multiple can be found by multiplying the highest exponent prime factors of 17334 and 17342. First we will calculate the prime factors of 17334 and 17342.

Prime Factorization of 17334


2 17334
3 8667
3 2889
3 963
3 321
107 107
1

Prime factors of 17334 are 2, 3,107. Prime factorization of 17334 in exponential form is:

17334 = 21×34×1071

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

Now multiplying the highest exponent prime factors to calculate the LCM of 17334 and 17342.

LCM(17334,17342) = 21×34×131×231×291×1071
LCM(17334,17342) = 150303114

Factors of 17334

List of positive integer factors of 17334 that divides 17334 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 107, 162, 214, 321, 642, 963, 1926, 2889, 5778, 8667, 17334

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

Least Common Multiple of 17334 and 17342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17334 and 17342, than apply into the LCM equation.

GCF(17334,17342) = 2
LCM(17334,17342) = ( 17334 × 17342) / 2
LCM(17334,17342) = 300606228 / 2
LCM(17334,17342) = 150303114

Properties of LCM 17334 and 17342

(i) The LCM of 17342 and 17334 is associative

LCM of 17334 and 17342 = LCM of 17342 and 17334

Related Least Common Multiples of 17334

Related Least Common Multiples of 17342

Frequently Asked Questions on LCM of 17334 and 17342

1. What is the LCM of 17334 and 17342?

Answer: LCM of 17334 and 17342 is 150303114.

2. What are the Factors of 17334?

Answer: Factors of 17334 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 107, 162, 214, 321, 642, 963, 1926, 2889, 5778, 8667, 17334. There are 20 integers that are factors of 17334. The greatest factor of 17334 is 17334.

3. 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.

4. How to Find the LCM of 17334 and 17342?

Answer:

Least Common Multiple of 17334 and 17342 = 150303114

Step 1: Find the prime factorization of 17334

17334 = 2 x 3 x 3 x 3 x 3 x 107

Step 2: Find the prime factorization of 17342

17342 = 2 x 13 x 23 x 29

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

LCM = 150303114 = 2 x 3 x 3 x 3 x 3 x 13 x 23 x 29 x 107

Step 4: Therefore, the least common multiple of 17334 and 17342 is 150303114.