Least Common Multiple of 130 and 132

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 132 the smallest integer that is 8580 that is divisible by both numbers.

Least Common Multiple (LCM) of 130 and 132 is 8580.

LCM(130,132) = 8580

LCM of 130 and 132

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

LCM of:
and

Least Common Multiple of 130 and 132

LCM of 130 and 132 is 8580

Least common multiple can be found by multiplying the highest exponent prime factors of 130 and 132. First we will calculate the prime factors of 130 and 132.

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 132


2 132
2 66
3 33
11 11
1

Prime factors of 132 are 2, 3,11. Prime factorization of 132 in exponential form is:

132 = 22×31×111

Now multiplying the highest exponent prime factors to calculate the LCM of 130 and 132.

LCM(130,132) = 22×31×51×111×131
LCM(130,132) = 8580

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 132

List of positive integer factors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Least Common Multiple of 130 and 132 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 132, than apply into the LCM equation.

GCF(130,132) = 2
LCM(130,132) = ( 130 × 132) / 2
LCM(130,132) = 17160 / 2
LCM(130,132) = 8580

Properties of LCM 130 and 132

(i) The LCM of 132 and 130 is associative

LCM of 130 and 132 = LCM of 132 and 130

Related Least Common Multiples of 130

Related Least Common Multiples of 132

Frequently Asked Questions on LCM of 130 and 132

1. What is the LCM of 130 and 132?

Answer: LCM of 130 and 132 is 8580.

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 132?

Answer: Factors of 132 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132. There are 12 integers that are factors of 132. The greatest factor of 132 is 132.

4. How to Find the LCM of 130 and 132?

Answer:

Least Common Multiple of 130 and 132 = 8580

Step 1: Find the prime factorization of 130

130 = 2 x 5 x 13

Step 2: Find the prime factorization of 132

132 = 2 x 2 x 3 x 11

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

LCM = 8580 = 2 x 2 x 3 x 5 x 11 x 13

Step 4: Therefore, the least common multiple of 130 and 132 is 8580.