Least Common Multiple of 5130 and 5135

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5130 and 5135 the smallest integer that is 5268510 that is divisible by both numbers.

Least Common Multiple (LCM) of 5130 and 5135 is 5268510.

LCM(5130,5135) = 5268510

LCM of 5130 and 5135

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

LCM of:
and

Least Common Multiple of 5130 and 5135

LCM of 5130 and 5135 is 5268510

Least common multiple can be found by multiplying the highest exponent prime factors of 5130 and 5135. First we will calculate the prime factors of 5130 and 5135.

Prime Factorization of 5130


2 5130
3 2565
3 855
3 285
5 95
19 19
1

Prime factors of 5130 are 2, 3, 5,19. Prime factorization of 5130 in exponential form is:

5130 = 21×33×51×191

Prime Factorization of 5135


5 5135
13 1027
79 79
1

Prime factors of 5135 are 5, 13,79. Prime factorization of 5135 in exponential form is:

5135 = 51×131×791

Now multiplying the highest exponent prime factors to calculate the LCM of 5130 and 5135.

LCM(5130,5135) = 21×33×51×131×191×791
LCM(5130,5135) = 5268510

Factors of 5130

List of positive integer factors of 5130 that divides 5130 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 27, 30, 38, 45, 54, 57, 90, 95, 114, 135, 171, 190, 270, 285, 342, 513, 570, 855, 1026, 1710, 2565, 5130

Factors of 5135

List of positive integer factors of 5135 that divides 5135 without a remainder.

1, 5, 13, 65, 79, 395, 1027, 5135

Least Common Multiple of 5130 and 5135 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5130 and 5135, than apply into the LCM equation.

GCF(5130,5135) = 5
LCM(5130,5135) = ( 5130 × 5135) / 5
LCM(5130,5135) = 26342550 / 5
LCM(5130,5135) = 5268510

Properties of LCM 5130 and 5135

(i) The LCM of 5135 and 5130 is associative

LCM of 5130 and 5135 = LCM of 5135 and 5130

Related Least Common Multiples of 5130

Related Least Common Multiples of 5135

Frequently Asked Questions on LCM of 5130 and 5135

1. What is the LCM of 5130 and 5135?

Answer: LCM of 5130 and 5135 is 5268510.

2. What are the Factors of 5130?

Answer: Factors of 5130 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 27, 30, 38, 45, 54, 57, 90, 95, 114, 135, 171, 190, 270, 285, 342, 513, 570, 855, 1026, 1710, 2565, 5130. There are 32 integers that are factors of 5130. The greatest factor of 5130 is 5130.

3. What are the Factors of 5135?

Answer: Factors of 5135 are 1, 5, 13, 65, 79, 395, 1027, 5135. There are 8 integers that are factors of 5135. The greatest factor of 5135 is 5135.

4. How to Find the LCM of 5130 and 5135?

Answer:

Least Common Multiple of 5130 and 5135 = 5268510

Step 1: Find the prime factorization of 5130

5130 = 2 x 3 x 3 x 3 x 5 x 19

Step 2: Find the prime factorization of 5135

5135 = 5 x 13 x 79

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

LCM = 5268510 = 2 x 3 x 3 x 3 x 5 x 13 x 19 x 79

Step 4: Therefore, the least common multiple of 5130 and 5135 is 5268510.