Least Common Multiple of 130 and 133

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 133 the smallest integer that is 17290 that is divisible by both numbers.

Least Common Multiple (LCM) of 130 and 133 is 17290.

LCM(130,133) = 17290

LCM of 130 and 133

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

LCM of:
and

Least Common Multiple of 130 and 133

LCM of 130 and 133 is 17290

Least common multiple can be found by multiplying the highest exponent prime factors of 130 and 133. First we will calculate the prime factors of 130 and 133.

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 133


7 133
19 19
1

Prime factors of 133 are 7,19. Prime factorization of 133 in exponential form is:

133 = 71×191

Now multiplying the highest exponent prime factors to calculate the LCM of 130 and 133.

LCM(130,133) = 21×51×71×131×191
LCM(130,133) = 17290

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 133

List of positive integer factors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Least Common Multiple of 130 and 133 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 133, than apply into the LCM equation.

GCF(130,133) = 1
LCM(130,133) = ( 130 × 133) / 1
LCM(130,133) = 17290 / 1
LCM(130,133) = 17290

Properties of LCM 130 and 133

(i) The LCM of 133 and 130 is associative

LCM of 130 and 133 = LCM of 133 and 130

Related Least Common Multiples of 130

Related Least Common Multiples of 133

Frequently Asked Questions on LCM of 130 and 133

1. What is the LCM of 130 and 133?

Answer: LCM of 130 and 133 is 17290.

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 133?

Answer: Factors of 133 are 1, 7, 19, 133. There are 4 integers that are factors of 133. The greatest factor of 133 is 133.

4. How to Find the LCM of 130 and 133?

Answer:

Least Common Multiple of 130 and 133 = 17290

Step 1: Find the prime factorization of 130

130 = 2 x 5 x 13

Step 2: Find the prime factorization of 133

133 = 7 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 = 17290 = 2 x 5 x 7 x 13 x 19

Step 4: Therefore, the least common multiple of 130 and 133 is 17290.