Least Common Multiple of 129 and 130

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 129 and 130 the smallest integer that is 16770 that is divisible by both numbers.

Least Common Multiple (LCM) of 129 and 130 is 16770.

LCM(129,130) = 16770

LCM of 129 and 130

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

LCM of:
and

Least Common Multiple of 129 and 130

LCM of 129 and 130 is 16770

Least common multiple can be found by multiplying the highest exponent prime factors of 129 and 130. First we will calculate the prime factors of 129 and 130.

Prime Factorization of 129


3 129
43 43
1

Prime factors of 129 are 3,43. Prime factorization of 129 in exponential form is:

129 = 31×431

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

Now multiplying the highest exponent prime factors to calculate the LCM of 129 and 130.

LCM(129,130) = 21×31×51×131×431
LCM(129,130) = 16770

Factors of 129

List of positive integer factors of 129 that divides 129 without a remainder.

1, 3, 43, 129

Factors of 130

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

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

Least Common Multiple of 129 and 130 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 129 and 130, than apply into the LCM equation.

GCF(129,130) = 1
LCM(129,130) = ( 129 × 130) / 1
LCM(129,130) = 16770 / 1
LCM(129,130) = 16770

Properties of LCM 129 and 130

(i) The LCM of 130 and 129 is associative

LCM of 129 and 130 = LCM of 130 and 129

Related Least Common Multiples of 129

Related Least Common Multiples of 130

Frequently Asked Questions on LCM of 129 and 130

1. What is the LCM of 129 and 130?

Answer: LCM of 129 and 130 is 16770.

2. What are the Factors of 129?

Answer: Factors of 129 are 1, 3, 43, 129. There are 4 integers that are factors of 129. The greatest factor of 129 is 129.

3. 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.

4. How to Find the LCM of 129 and 130?

Answer:

Least Common Multiple of 129 and 130 = 16770

Step 1: Find the prime factorization of 129

129 = 3 x 43

Step 2: Find the prime factorization of 130

130 = 2 x 5 x 13

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

LCM = 16770 = 2 x 3 x 5 x 13 x 43

Step 4: Therefore, the least common multiple of 129 and 130 is 16770.