Least Common Multiple of 3130 and 3135

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 3135 the smallest integer that is 1962510 that is divisible by both numbers.

Least Common Multiple (LCM) of 3130 and 3135 is 1962510.

LCM(3130,3135) = 1962510

LCM of 3130 and 3135

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

LCM of:
and

Least Common Multiple of 3130 and 3135

LCM of 3130 and 3135 is 1962510

Least common multiple can be found by multiplying the highest exponent prime factors of 3130 and 3135. First we will calculate the prime factors of 3130 and 3135.

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 3135


3 3135
5 1045
11 209
19 19
1

Prime factors of 3135 are 3, 5, 11,19. Prime factorization of 3135 in exponential form is:

3135 = 31×51×111×191

Now multiplying the highest exponent prime factors to calculate the LCM of 3130 and 3135.

LCM(3130,3135) = 21×31×51×111×191×3131
LCM(3130,3135) = 1962510

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 3135

List of positive integer factors of 3135 that divides 3135 without a remainder.

1, 3, 5, 11, 15, 19, 33, 55, 57, 95, 165, 209, 285, 627, 1045, 3135

Least Common Multiple of 3130 and 3135 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 3135, than apply into the LCM equation.

GCF(3130,3135) = 5
LCM(3130,3135) = ( 3130 × 3135) / 5
LCM(3130,3135) = 9812550 / 5
LCM(3130,3135) = 1962510

Properties of LCM 3130 and 3135

(i) The LCM of 3135 and 3130 is associative

LCM of 3130 and 3135 = LCM of 3135 and 3130

Related Least Common Multiples of 3130

Related Least Common Multiples of 3135

Frequently Asked Questions on LCM of 3130 and 3135

1. What is the LCM of 3130 and 3135?

Answer: LCM of 3130 and 3135 is 1962510.

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 3135?

Answer: Factors of 3135 are 1, 3, 5, 11, 15, 19, 33, 55, 57, 95, 165, 209, 285, 627, 1045, 3135. There are 16 integers that are factors of 3135. The greatest factor of 3135 is 3135.

4. How to Find the LCM of 3130 and 3135?

Answer:

Least Common Multiple of 3130 and 3135 = 1962510

Step 1: Find the prime factorization of 3130

3130 = 2 x 5 x 313

Step 2: Find the prime factorization of 3135

3135 = 3 x 5 x 11 x 19

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

LCM = 1962510 = 2 x 3 x 5 x 11 x 19 x 313

Step 4: Therefore, the least common multiple of 3130 and 3135 is 1962510.