Least Common Multiple of 5348 and 5355

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5348 and 5355 the smallest integer that is 4091220 that is divisible by both numbers.

Least Common Multiple (LCM) of 5348 and 5355 is 4091220.

LCM(5348,5355) = 4091220

LCM of 5348 and 5355

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

LCM of:
and

Least Common Multiple of 5348 and 5355

LCM of 5348 and 5355 is 4091220

Least common multiple can be found by multiplying the highest exponent prime factors of 5348 and 5355. First we will calculate the prime factors of 5348 and 5355.

Prime Factorization of 5348


2 5348
2 2674
7 1337
191 191
1

Prime factors of 5348 are 2, 7,191. Prime factorization of 5348 in exponential form is:

5348 = 22×71×1911

Prime Factorization of 5355


3 5355
3 1785
5 595
7 119
17 17
1

Prime factors of 5355 are 3, 5, 7,17. Prime factorization of 5355 in exponential form is:

5355 = 32×51×71×171

Now multiplying the highest exponent prime factors to calculate the LCM of 5348 and 5355.

LCM(5348,5355) = 22×32×51×71×171×1911
LCM(5348,5355) = 4091220

Factors of 5348

List of positive integer factors of 5348 that divides 5348 without a remainder.

1, 2, 4, 7, 14, 28, 191, 382, 764, 1337, 2674, 5348

Factors of 5355

List of positive integer factors of 5355 that divides 5355 without a remainder.

1, 3, 5, 7, 9, 15, 17, 21, 35, 45, 51, 63, 85, 105, 119, 153, 255, 315, 357, 595, 765, 1071, 1785, 5355

Least Common Multiple of 5348 and 5355 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5348 and 5355, than apply into the LCM equation.

GCF(5348,5355) = 7
LCM(5348,5355) = ( 5348 × 5355) / 7
LCM(5348,5355) = 28638540 / 7
LCM(5348,5355) = 4091220

Properties of LCM 5348 and 5355

(i) The LCM of 5355 and 5348 is associative

LCM of 5348 and 5355 = LCM of 5355 and 5348

Related Least Common Multiples of 5348

Related Least Common Multiples of 5355

Frequently Asked Questions on LCM of 5348 and 5355

1. What is the LCM of 5348 and 5355?

Answer: LCM of 5348 and 5355 is 4091220.

2. What are the Factors of 5348?

Answer: Factors of 5348 are 1, 2, 4, 7, 14, 28, 191, 382, 764, 1337, 2674, 5348. There are 12 integers that are factors of 5348. The greatest factor of 5348 is 5348.

3. What are the Factors of 5355?

Answer: Factors of 5355 are 1, 3, 5, 7, 9, 15, 17, 21, 35, 45, 51, 63, 85, 105, 119, 153, 255, 315, 357, 595, 765, 1071, 1785, 5355. There are 24 integers that are factors of 5355. The greatest factor of 5355 is 5355.

4. How to Find the LCM of 5348 and 5355?

Answer:

Least Common Multiple of 5348 and 5355 = 4091220

Step 1: Find the prime factorization of 5348

5348 = 2 x 2 x 7 x 191

Step 2: Find the prime factorization of 5355

5355 = 3 x 3 x 5 x 7 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 = 4091220 = 2 x 2 x 3 x 3 x 5 x 7 x 17 x 191

Step 4: Therefore, the least common multiple of 5348 and 5355 is 4091220.