Least Common Multiple of 5331 and 5338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5331 and 5338 the smallest integer that is 28456878 that is divisible by both numbers.

Least Common Multiple (LCM) of 5331 and 5338 is 28456878.

LCM(5331,5338) = 28456878

LCM of 5331 and 5338

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

LCM of:
and

Least Common Multiple of 5331 and 5338

LCM of 5331 and 5338 is 28456878

Least common multiple can be found by multiplying the highest exponent prime factors of 5331 and 5338. First we will calculate the prime factors of 5331 and 5338.

Prime Factorization of 5331


3 5331
1777 1777
1

Prime factors of 5331 are 3,1777. Prime factorization of 5331 in exponential form is:

5331 = 31×17771

Prime Factorization of 5338


2 5338
17 2669
157 157
1

Prime factors of 5338 are 2, 17,157. Prime factorization of 5338 in exponential form is:

5338 = 21×171×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 5331 and 5338.

LCM(5331,5338) = 21×31×171×1571×17771
LCM(5331,5338) = 28456878

Factors of 5331

List of positive integer factors of 5331 that divides 5331 without a remainder.

1, 3, 1777, 5331

Factors of 5338

List of positive integer factors of 5338 that divides 5338 without a remainder.

1, 2, 17, 34, 157, 314, 2669, 5338

Least Common Multiple of 5331 and 5338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5331 and 5338, than apply into the LCM equation.

GCF(5331,5338) = 1
LCM(5331,5338) = ( 5331 × 5338) / 1
LCM(5331,5338) = 28456878 / 1
LCM(5331,5338) = 28456878

Properties of LCM 5331 and 5338

(i) The LCM of 5338 and 5331 is associative

LCM of 5331 and 5338 = LCM of 5338 and 5331

Related Least Common Multiples of 5331

Related Least Common Multiples of 5338

Frequently Asked Questions on LCM of 5331 and 5338

1. What is the LCM of 5331 and 5338?

Answer: LCM of 5331 and 5338 is 28456878.

2. What are the Factors of 5331?

Answer: Factors of 5331 are 1, 3, 1777, 5331. There are 4 integers that are factors of 5331. The greatest factor of 5331 is 5331.

3. What are the Factors of 5338?

Answer: Factors of 5338 are 1, 2, 17, 34, 157, 314, 2669, 5338. There are 8 integers that are factors of 5338. The greatest factor of 5338 is 5338.

4. How to Find the LCM of 5331 and 5338?

Answer:

Least Common Multiple of 5331 and 5338 = 28456878

Step 1: Find the prime factorization of 5331

5331 = 3 x 1777

Step 2: Find the prime factorization of 5338

5338 = 2 x 17 x 157

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

LCM = 28456878 = 2 x 3 x 17 x 157 x 1777

Step 4: Therefore, the least common multiple of 5331 and 5338 is 28456878.