Least Common Multiple of 3124 and 3130

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3124 and 3130 the smallest integer that is 4889060 that is divisible by both numbers.

Least Common Multiple (LCM) of 3124 and 3130 is 4889060.

LCM(3124,3130) = 4889060

LCM of 3124 and 3130

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

LCM of:
and

Least Common Multiple of 3124 and 3130

LCM of 3124 and 3130 is 4889060

Least common multiple can be found by multiplying the highest exponent prime factors of 3124 and 3130. First we will calculate the prime factors of 3124 and 3130.

Prime Factorization of 3124


2 3124
2 1562
11 781
71 71
1

Prime factors of 3124 are 2, 11,71. Prime factorization of 3124 in exponential form is:

3124 = 22×111×711

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3124 and 3130.

LCM(3124,3130) = 22×51×111×711×3131
LCM(3124,3130) = 4889060

Factors of 3124

List of positive integer factors of 3124 that divides 3124 without a remainder.

1, 2, 4, 11, 22, 44, 71, 142, 284, 781, 1562, 3124

Factors of 3130

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

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

Least Common Multiple of 3124 and 3130 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3124 and 3130, than apply into the LCM equation.

GCF(3124,3130) = 2
LCM(3124,3130) = ( 3124 × 3130) / 2
LCM(3124,3130) = 9778120 / 2
LCM(3124,3130) = 4889060

Properties of LCM 3124 and 3130

(i) The LCM of 3130 and 3124 is associative

LCM of 3124 and 3130 = LCM of 3130 and 3124

Related Least Common Multiples of 3124

Related Least Common Multiples of 3130

Frequently Asked Questions on LCM of 3124 and 3130

1. What is the LCM of 3124 and 3130?

Answer: LCM of 3124 and 3130 is 4889060.

2. What are the Factors of 3124?

Answer: Factors of 3124 are 1, 2, 4, 11, 22, 44, 71, 142, 284, 781, 1562, 3124. There are 12 integers that are factors of 3124. The greatest factor of 3124 is 3124.

3. 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.

4. How to Find the LCM of 3124 and 3130?

Answer:

Least Common Multiple of 3124 and 3130 = 4889060

Step 1: Find the prime factorization of 3124

3124 = 2 x 2 x 11 x 71

Step 2: Find the prime factorization of 3130

3130 = 2 x 5 x 313

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

LCM = 4889060 = 2 x 2 x 5 x 11 x 71 x 313

Step 4: Therefore, the least common multiple of 3124 and 3130 is 4889060.