Least Common Multiple of 5349 and 5354

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5349 and 5354 the smallest integer that is 28638546 that is divisible by both numbers.

Least Common Multiple (LCM) of 5349 and 5354 is 28638546.

LCM(5349,5354) = 28638546

LCM of 5349 and 5354

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

LCM of:
and

Least Common Multiple of 5349 and 5354

LCM of 5349 and 5354 is 28638546

Least common multiple can be found by multiplying the highest exponent prime factors of 5349 and 5354. First we will calculate the prime factors of 5349 and 5354.

Prime Factorization of 5349


3 5349
1783 1783
1

Prime factors of 5349 are 3,1783. Prime factorization of 5349 in exponential form is:

5349 = 31×17831

Prime Factorization of 5354


2 5354
2677 2677
1

Prime factors of 5354 are 2,2677. Prime factorization of 5354 in exponential form is:

5354 = 21×26771

Now multiplying the highest exponent prime factors to calculate the LCM of 5349 and 5354.

LCM(5349,5354) = 21×31×17831×26771
LCM(5349,5354) = 28638546

Factors of 5349

List of positive integer factors of 5349 that divides 5349 without a remainder.

1, 3, 1783, 5349

Factors of 5354

List of positive integer factors of 5354 that divides 5354 without a remainder.

1, 2, 2677, 5354

Least Common Multiple of 5349 and 5354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5349 and 5354, than apply into the LCM equation.

GCF(5349,5354) = 1
LCM(5349,5354) = ( 5349 × 5354) / 1
LCM(5349,5354) = 28638546 / 1
LCM(5349,5354) = 28638546

Properties of LCM 5349 and 5354

(i) The LCM of 5354 and 5349 is associative

LCM of 5349 and 5354 = LCM of 5354 and 5349

Related Least Common Multiples of 5349

Related Least Common Multiples of 5354

Frequently Asked Questions on LCM of 5349 and 5354

1. What is the LCM of 5349 and 5354?

Answer: LCM of 5349 and 5354 is 28638546.

2. What are the Factors of 5349?

Answer: Factors of 5349 are 1, 3, 1783, 5349. There are 4 integers that are factors of 5349. The greatest factor of 5349 is 5349.

3. What are the Factors of 5354?

Answer: Factors of 5354 are 1, 2, 2677, 5354. There are 4 integers that are factors of 5354. The greatest factor of 5354 is 5354.

4. How to Find the LCM of 5349 and 5354?

Answer:

Least Common Multiple of 5349 and 5354 = 28638546

Step 1: Find the prime factorization of 5349

5349 = 3 x 1783

Step 2: Find the prime factorization of 5354

5354 = 2 x 2677

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

LCM = 28638546 = 2 x 3 x 1783 x 2677

Step 4: Therefore, the least common multiple of 5349 and 5354 is 28638546.