Least Common Multiple of 5346 and 5353

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5346 and 5353 the smallest integer that is 28617138 that is divisible by both numbers.

Least Common Multiple (LCM) of 5346 and 5353 is 28617138.

LCM(5346,5353) = 28617138

LCM of 5346 and 5353

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

LCM of:
and

Least Common Multiple of 5346 and 5353

LCM of 5346 and 5353 is 28617138

Least common multiple can be found by multiplying the highest exponent prime factors of 5346 and 5353. First we will calculate the prime factors of 5346 and 5353.

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

Prime Factorization of 5353


53 5353
101 101
1

Prime factors of 5353 are 53,101. Prime factorization of 5353 in exponential form is:

5353 = 531×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 5346 and 5353.

LCM(5346,5353) = 21×35×111×531×1011
LCM(5346,5353) = 28617138

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

Factors of 5353

List of positive integer factors of 5353 that divides 5353 without a remainder.

1, 53, 101, 5353

Least Common Multiple of 5346 and 5353 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5346 and 5353, than apply into the LCM equation.

GCF(5346,5353) = 1
LCM(5346,5353) = ( 5346 × 5353) / 1
LCM(5346,5353) = 28617138 / 1
LCM(5346,5353) = 28617138

Properties of LCM 5346 and 5353

(i) The LCM of 5353 and 5346 is associative

LCM of 5346 and 5353 = LCM of 5353 and 5346

Related Least Common Multiples of 5346

Related Least Common Multiples of 5353

Frequently Asked Questions on LCM of 5346 and 5353

1. What is the LCM of 5346 and 5353?

Answer: LCM of 5346 and 5353 is 28617138.

2. 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.

3. What are the Factors of 5353?

Answer: Factors of 5353 are 1, 53, 101, 5353. There are 4 integers that are factors of 5353. The greatest factor of 5353 is 5353.

4. How to Find the LCM of 5346 and 5353?

Answer:

Least Common Multiple of 5346 and 5353 = 28617138

Step 1: Find the prime factorization of 5346

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

Step 2: Find the prime factorization of 5353

5353 = 53 x 101

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

LCM = 28617138 = 2 x 3 x 3 x 3 x 3 x 3 x 11 x 53 x 101

Step 4: Therefore, the least common multiple of 5346 and 5353 is 28617138.