Least Common Multiple of 3128 and 3133

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3128 and 3133 the smallest integer that is 9800024 that is divisible by both numbers.

Least Common Multiple (LCM) of 3128 and 3133 is 9800024.

LCM(3128,3133) = 9800024

LCM of 3128 and 3133

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

LCM of:
and

Least Common Multiple of 3128 and 3133

LCM of 3128 and 3133 is 9800024

Least common multiple can be found by multiplying the highest exponent prime factors of 3128 and 3133. First we will calculate the prime factors of 3128 and 3133.

Prime Factorization of 3128


2 3128
2 1564
2 782
17 391
23 23
1

Prime factors of 3128 are 2, 17,23. Prime factorization of 3128 in exponential form is:

3128 = 23×171×231

Prime Factorization of 3133


13 3133
241 241
1

Prime factors of 3133 are 13,241. Prime factorization of 3133 in exponential form is:

3133 = 131×2411

Now multiplying the highest exponent prime factors to calculate the LCM of 3128 and 3133.

LCM(3128,3133) = 23×131×171×231×2411
LCM(3128,3133) = 9800024

Factors of 3128

List of positive integer factors of 3128 that divides 3128 without a remainder.

1, 2, 4, 8, 17, 23, 34, 46, 68, 92, 136, 184, 391, 782, 1564, 3128

Factors of 3133

List of positive integer factors of 3133 that divides 3133 without a remainder.

1, 13, 241, 3133

Least Common Multiple of 3128 and 3133 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3128 and 3133, than apply into the LCM equation.

GCF(3128,3133) = 1
LCM(3128,3133) = ( 3128 × 3133) / 1
LCM(3128,3133) = 9800024 / 1
LCM(3128,3133) = 9800024

Properties of LCM 3128 and 3133

(i) The LCM of 3133 and 3128 is associative

LCM of 3128 and 3133 = LCM of 3133 and 3128

Related Least Common Multiples of 3128

Related Least Common Multiples of 3133

Frequently Asked Questions on LCM of 3128 and 3133

1. What is the LCM of 3128 and 3133?

Answer: LCM of 3128 and 3133 is 9800024.

2. What are the Factors of 3128?

Answer: Factors of 3128 are 1, 2, 4, 8, 17, 23, 34, 46, 68, 92, 136, 184, 391, 782, 1564, 3128. There are 16 integers that are factors of 3128. The greatest factor of 3128 is 3128.

3. What are the Factors of 3133?

Answer: Factors of 3133 are 1, 13, 241, 3133. There are 4 integers that are factors of 3133. The greatest factor of 3133 is 3133.

4. How to Find the LCM of 3128 and 3133?

Answer:

Least Common Multiple of 3128 and 3133 = 9800024

Step 1: Find the prime factorization of 3128

3128 = 2 x 2 x 2 x 17 x 23

Step 2: Find the prime factorization of 3133

3133 = 13 x 241

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

LCM = 9800024 = 2 x 2 x 2 x 13 x 17 x 23 x 241

Step 4: Therefore, the least common multiple of 3128 and 3133 is 9800024.