Least Common Multiple of 5339 and 5346

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5339 and 5346 the smallest integer that is 28542294 that is divisible by both numbers.

Least Common Multiple (LCM) of 5339 and 5346 is 28542294.

LCM(5339,5346) = 28542294

LCM of 5339 and 5346

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

LCM of:
and

Least Common Multiple of 5339 and 5346

LCM of 5339 and 5346 is 28542294

Least common multiple can be found by multiplying the highest exponent prime factors of 5339 and 5346. First we will calculate the prime factors of 5339 and 5346.

Prime Factorization of 5339


19 5339
281 281
1

Prime factors of 5339 are 19,281. Prime factorization of 5339 in exponential form is:

5339 = 191×2811

Prime Factorization of 5346


2 5346
3 2673
3 891
3 297
3 99
3 33
11 11
1

Prime factors of 5346 are 2, 3,11. Prime factorization of 5346 in exponential form is:

5346 = 21×35×111

Now multiplying the highest exponent prime factors to calculate the LCM of 5339 and 5346.

LCM(5339,5346) = 21×35×111×191×2811
LCM(5339,5346) = 28542294

Factors of 5339

List of positive integer factors of 5339 that divides 5339 without a remainder.

1, 19, 281, 5339

Factors of 5346

List of positive integer factors of 5346 that divides 5346 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 81, 99, 162, 198, 243, 297, 486, 594, 891, 1782, 2673, 5346

Least Common Multiple of 5339 and 5346 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5339 and 5346, than apply into the LCM equation.

GCF(5339,5346) = 1
LCM(5339,5346) = ( 5339 × 5346) / 1
LCM(5339,5346) = 28542294 / 1
LCM(5339,5346) = 28542294

Properties of LCM 5339 and 5346

(i) The LCM of 5346 and 5339 is associative

LCM of 5339 and 5346 = LCM of 5346 and 5339

Related Least Common Multiples of 5339

Related Least Common Multiples of 5346

Frequently Asked Questions on LCM of 5339 and 5346

1. What is the LCM of 5339 and 5346?

Answer: LCM of 5339 and 5346 is 28542294.

2. What are the Factors of 5339?

Answer: Factors of 5339 are 1, 19, 281, 5339. There are 4 integers that are factors of 5339. The greatest factor of 5339 is 5339.

3. What are the Factors of 5346?

Answer: Factors of 5346 are 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 81, 99, 162, 198, 243, 297, 486, 594, 891, 1782, 2673, 5346. There are 24 integers that are factors of 5346. The greatest factor of 5346 is 5346.

4. How to Find the LCM of 5339 and 5346?

Answer:

Least Common Multiple of 5339 and 5346 = 28542294

Step 1: Find the prime factorization of 5339

5339 = 19 x 281

Step 2: Find the prime factorization of 5346

5346 = 2 x 3 x 3 x 3 x 3 x 3 x 11

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

LCM = 28542294 = 2 x 3 x 3 x 3 x 3 x 3 x 11 x 19 x 281

Step 4: Therefore, the least common multiple of 5339 and 5346 is 28542294.