Least Common Multiple of 130 and 135

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 130 and 135 the smallest integer that is 3510 that is divisible by both numbers.

Least Common Multiple (LCM) of 130 and 135 is 3510.

LCM(130,135) = 3510

LCM of 130 and 135

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

LCM of:
and

Least Common Multiple of 130 and 135

LCM of 130 and 135 is 3510

Least common multiple can be found by multiplying the highest exponent prime factors of 130 and 135. First we will calculate the prime factors of 130 and 135.

Prime Factorization of 130


2 130
5 65
13 13
1

Prime factors of 130 are 2, 5,13. Prime factorization of 130 in exponential form is:

130 = 21×51×131

Prime Factorization of 135


3 135
3 45
3 15
5 5
1

Prime factors of 135 are 3,5. Prime factorization of 135 in exponential form is:

135 = 33×51

Now multiplying the highest exponent prime factors to calculate the LCM of 130 and 135.

LCM(130,135) = 21×33×51×131
LCM(130,135) = 3510

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Least Common Multiple of 130 and 135 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 130 and 135, than apply into the LCM equation.

GCF(130,135) = 5
LCM(130,135) = ( 130 × 135) / 5
LCM(130,135) = 17550 / 5
LCM(130,135) = 3510

Properties of LCM 130 and 135

(i) The LCM of 135 and 130 is associative

LCM of 130 and 135 = LCM of 135 and 130

Related Least Common Multiples of 130

Related Least Common Multiples of 135

Frequently Asked Questions on LCM of 130 and 135

1. What is the LCM of 130 and 135?

Answer: LCM of 130 and 135 is 3510.

2. What are the Factors of 130?

Answer: Factors of 130 are 1, 2, 5, 10, 13, 26, 65, 130. There are 8 integers that are factors of 130. The greatest factor of 130 is 130.

3. What are the Factors of 135?

Answer: Factors of 135 are 1, 3, 5, 9, 15, 27, 45, 135. There are 8 integers that are factors of 135. The greatest factor of 135 is 135.

4. How to Find the LCM of 130 and 135?

Answer:

Least Common Multiple of 130 and 135 = 3510

Step 1: Find the prime factorization of 130

130 = 2 x 5 x 13

Step 2: Find the prime factorization of 135

135 = 3 x 3 x 3 x 5

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

LCM = 3510 = 2 x 3 x 3 x 3 x 5 x 13

Step 4: Therefore, the least common multiple of 130 and 135 is 3510.