Least Common Multiple of 3133 and 3140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3133 and 3140 the smallest integer that is 9837620 that is divisible by both numbers.

Least Common Multiple (LCM) of 3133 and 3140 is 9837620.

LCM(3133,3140) = 9837620

LCM of 3133 and 3140

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

LCM of:
and

Least Common Multiple of 3133 and 3140

LCM of 3133 and 3140 is 9837620

Least common multiple can be found by multiplying the highest exponent prime factors of 3133 and 3140. First we will calculate the prime factors of 3133 and 3140.

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

Prime Factorization of 3140


2 3140
2 1570
5 785
157 157
1

Prime factors of 3140 are 2, 5,157. Prime factorization of 3140 in exponential form is:

3140 = 22×51×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 3133 and 3140.

LCM(3133,3140) = 22×51×131×1571×2411
LCM(3133,3140) = 9837620

Factors of 3133

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

1, 13, 241, 3133

Factors of 3140

List of positive integer factors of 3140 that divides 3140 without a remainder.

1, 2, 4, 5, 10, 20, 157, 314, 628, 785, 1570, 3140

Least Common Multiple of 3133 and 3140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3133 and 3140, than apply into the LCM equation.

GCF(3133,3140) = 1
LCM(3133,3140) = ( 3133 × 3140) / 1
LCM(3133,3140) = 9837620 / 1
LCM(3133,3140) = 9837620

Properties of LCM 3133 and 3140

(i) The LCM of 3140 and 3133 is associative

LCM of 3133 and 3140 = LCM of 3140 and 3133

Related Least Common Multiples of 3133

Related Least Common Multiples of 3140

Frequently Asked Questions on LCM of 3133 and 3140

1. What is the LCM of 3133 and 3140?

Answer: LCM of 3133 and 3140 is 9837620.

2. 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.

3. What are the Factors of 3140?

Answer: Factors of 3140 are 1, 2, 4, 5, 10, 20, 157, 314, 628, 785, 1570, 3140. There are 12 integers that are factors of 3140. The greatest factor of 3140 is 3140.

4. How to Find the LCM of 3133 and 3140?

Answer:

Least Common Multiple of 3133 and 3140 = 9837620

Step 1: Find the prime factorization of 3133

3133 = 13 x 241

Step 2: Find the prime factorization of 3140

3140 = 2 x 2 x 5 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 = 9837620 = 2 x 2 x 5 x 13 x 157 x 241

Step 4: Therefore, the least common multiple of 3133 and 3140 is 9837620.