Least Common Multiple of 3130 and 3136

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 3136 the smallest integer that is 4907840 that is divisible by both numbers.

Least Common Multiple (LCM) of 3130 and 3136 is 4907840.

LCM(3130,3136) = 4907840

LCM of 3130 and 3136

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

LCM of:
and

Least Common Multiple of 3130 and 3136

LCM of 3130 and 3136 is 4907840

Least common multiple can be found by multiplying the highest exponent prime factors of 3130 and 3136. First we will calculate the prime factors of 3130 and 3136.

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 3136


2 3136
2 1568
2 784
2 392
2 196
2 98
7 49
7 7
1

Prime factors of 3136 are 2,7. Prime factorization of 3136 in exponential form is:

3136 = 26×72

Now multiplying the highest exponent prime factors to calculate the LCM of 3130 and 3136.

LCM(3130,3136) = 26×51×72×3131
LCM(3130,3136) = 4907840

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 3136

List of positive integer factors of 3136 that divides 3136 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 64, 98, 112, 196, 224, 392, 448, 784, 1568, 3136

Least Common Multiple of 3130 and 3136 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 3136, than apply into the LCM equation.

GCF(3130,3136) = 2
LCM(3130,3136) = ( 3130 × 3136) / 2
LCM(3130,3136) = 9815680 / 2
LCM(3130,3136) = 4907840

Properties of LCM 3130 and 3136

(i) The LCM of 3136 and 3130 is associative

LCM of 3130 and 3136 = LCM of 3136 and 3130

Related Least Common Multiples of 3130

Related Least Common Multiples of 3136

Frequently Asked Questions on LCM of 3130 and 3136

1. What is the LCM of 3130 and 3136?

Answer: LCM of 3130 and 3136 is 4907840.

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 3136?

Answer: Factors of 3136 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 64, 98, 112, 196, 224, 392, 448, 784, 1568, 3136. There are 21 integers that are factors of 3136. The greatest factor of 3136 is 3136.

4. How to Find the LCM of 3130 and 3136?

Answer:

Least Common Multiple of 3130 and 3136 = 4907840

Step 1: Find the prime factorization of 3130

3130 = 2 x 5 x 313

Step 2: Find the prime factorization of 3136

3136 = 2 x 2 x 2 x 2 x 2 x 2 x 7 x 7

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

LCM = 4907840 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 7 x 7 x 313

Step 4: Therefore, the least common multiple of 3130 and 3136 is 4907840.