Least Common Multiple of 3130 and 3134

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3130 and 3134 the smallest integer that is 4904710 that is divisible by both numbers.

Least Common Multiple (LCM) of 3130 and 3134 is 4904710.

LCM(3130,3134) = 4904710

LCM of 3130 and 3134

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

LCM of:
and

Least Common Multiple of 3130 and 3134

LCM of 3130 and 3134 is 4904710

Least common multiple can be found by multiplying the highest exponent prime factors of 3130 and 3134. First we will calculate the prime factors of 3130 and 3134.

Prime Factorization of 3130


2 3130
5 1565
313 313
1

Prime factors of 3130 are 2, 5,313. Prime factorization of 3130 in exponential form is:

3130 = 21×51×3131

Prime Factorization of 3134


2 3134
1567 1567
1

Prime factors of 3134 are 2,1567. Prime factorization of 3134 in exponential form is:

3134 = 21×15671

Now multiplying the highest exponent prime factors to calculate the LCM of 3130 and 3134.

LCM(3130,3134) = 21×51×3131×15671
LCM(3130,3134) = 4904710

Factors of 3130

List of positive integer factors of 3130 that divides 3130 without a remainder.

1, 2, 5, 10, 313, 626, 1565, 3130

Factors of 3134

List of positive integer factors of 3134 that divides 3134 without a remainder.

1, 2, 1567, 3134

Least Common Multiple of 3130 and 3134 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3130 and 3134, than apply into the LCM equation.

GCF(3130,3134) = 2
LCM(3130,3134) = ( 3130 × 3134) / 2
LCM(3130,3134) = 9809420 / 2
LCM(3130,3134) = 4904710

Properties of LCM 3130 and 3134

(i) The LCM of 3134 and 3130 is associative

LCM of 3130 and 3134 = LCM of 3134 and 3130

Related Least Common Multiples of 3130

Related Least Common Multiples of 3134

Frequently Asked Questions on LCM of 3130 and 3134

1. What is the LCM of 3130 and 3134?

Answer: LCM of 3130 and 3134 is 4904710.

2. What are the Factors of 3130?

Answer: Factors of 3130 are 1, 2, 5, 10, 313, 626, 1565, 3130. There are 8 integers that are factors of 3130. The greatest factor of 3130 is 3130.

3. What are the Factors of 3134?

Answer: Factors of 3134 are 1, 2, 1567, 3134. There are 4 integers that are factors of 3134. The greatest factor of 3134 is 3134.

4. How to Find the LCM of 3130 and 3134?

Answer:

Least Common Multiple of 3130 and 3134 = 4904710

Step 1: Find the prime factorization of 3130

3130 = 2 x 5 x 313

Step 2: Find the prime factorization of 3134

3134 = 2 x 1567

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

LCM = 4904710 = 2 x 5 x 313 x 1567

Step 4: Therefore, the least common multiple of 3130 and 3134 is 4904710.