Least Common Multiple of 17334 and 17340

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 17340 the smallest integer that is 50095260 that is divisible by both numbers.

Least Common Multiple (LCM) of 17334 and 17340 is 50095260.

LCM(17334,17340) = 50095260

LCM of 17334 and 17340

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

LCM of:
and

Least Common Multiple of 17334 and 17340

LCM of 17334 and 17340 is 50095260

Least common multiple can be found by multiplying the highest exponent prime factors of 17334 and 17340. First we will calculate the prime factors of 17334 and 17340.

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 17340


2 17340
2 8670
3 4335
5 1445
17 289
17 17
1

Prime factors of 17340 are 2, 3, 5,17. Prime factorization of 17340 in exponential form is:

17340 = 22×31×51×172

Now multiplying the highest exponent prime factors to calculate the LCM of 17334 and 17340.

LCM(17334,17340) = 22×34×51×172×1071
LCM(17334,17340) = 50095260

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 17340

List of positive integer factors of 17340 that divides 17340 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 60, 68, 85, 102, 170, 204, 255, 289, 340, 510, 578, 867, 1020, 1156, 1445, 1734, 2890, 3468, 4335, 5780, 8670, 17340

Least Common Multiple of 17334 and 17340 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 17340, than apply into the LCM equation.

GCF(17334,17340) = 6
LCM(17334,17340) = ( 17334 × 17340) / 6
LCM(17334,17340) = 300571560 / 6
LCM(17334,17340) = 50095260

Properties of LCM 17334 and 17340

(i) The LCM of 17340 and 17334 is associative

LCM of 17334 and 17340 = LCM of 17340 and 17334

Related Least Common Multiples of 17334

Related Least Common Multiples of 17340

Frequently Asked Questions on LCM of 17334 and 17340

1. What is the LCM of 17334 and 17340?

Answer: LCM of 17334 and 17340 is 50095260.

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 17340?

Answer: Factors of 17340 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 60, 68, 85, 102, 170, 204, 255, 289, 340, 510, 578, 867, 1020, 1156, 1445, 1734, 2890, 3468, 4335, 5780, 8670, 17340. There are 36 integers that are factors of 17340. The greatest factor of 17340 is 17340.

4. How to Find the LCM of 17334 and 17340?

Answer:

Least Common Multiple of 17334 and 17340 = 50095260

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 17340

17340 = 2 x 2 x 3 x 5 x 17 x 17

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

LCM = 50095260 = 2 x 2 x 3 x 3 x 3 x 3 x 5 x 17 x 17 x 107

Step 4: Therefore, the least common multiple of 17334 and 17340 is 50095260.