Least Common Multiple of 129 and 136

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 136 the smallest integer that is 17544 that is divisible by both numbers.

Least Common Multiple (LCM) of 129 and 136 is 17544.

LCM(129,136) = 17544

LCM of 129 and 136

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

LCM of:
and

Least Common Multiple of 129 and 136

LCM of 129 and 136 is 17544

Least common multiple can be found by multiplying the highest exponent prime factors of 129 and 136. First we will calculate the prime factors of 129 and 136.

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 136


2 136
2 68
2 34
17 17
1

Prime factors of 136 are 2,17. Prime factorization of 136 in exponential form is:

136 = 23×171

Now multiplying the highest exponent prime factors to calculate the LCM of 129 and 136.

LCM(129,136) = 23×31×171×431
LCM(129,136) = 17544

Factors of 129

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

1, 3, 43, 129

Factors of 136

List of positive integer factors of 136 that divides 136 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136

Least Common Multiple of 129 and 136 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 136, than apply into the LCM equation.

GCF(129,136) = 1
LCM(129,136) = ( 129 × 136) / 1
LCM(129,136) = 17544 / 1
LCM(129,136) = 17544

Properties of LCM 129 and 136

(i) The LCM of 136 and 129 is associative

LCM of 129 and 136 = LCM of 136 and 129

Related Least Common Multiples of 129

Related Least Common Multiples of 136

Frequently Asked Questions on LCM of 129 and 136

1. What is the LCM of 129 and 136?

Answer: LCM of 129 and 136 is 17544.

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 136?

Answer: Factors of 136 are 1, 2, 4, 8, 17, 34, 68, 136. There are 8 integers that are factors of 136. The greatest factor of 136 is 136.

4. How to Find the LCM of 129 and 136?

Answer:

Least Common Multiple of 129 and 136 = 17544

Step 1: Find the prime factorization of 129

129 = 3 x 43

Step 2: Find the prime factorization of 136

136 = 2 x 2 x 2 x 17

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

LCM = 17544 = 2 x 2 x 2 x 3 x 17 x 43

Step 4: Therefore, the least common multiple of 129 and 136 is 17544.