Least Common Multiple of 129 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 129 and 133 the smallest integer that is 17157 that is divisible by both numbers.

Least Common Multiple (LCM) of 129 and 133 is 17157.

LCM(129,133) = 17157

LCM of 129 and 133

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

LCM of:
and

Least Common Multiple of 129 and 133

LCM of 129 and 133 is 17157

Least common multiple can be found by multiplying the highest exponent prime factors of 129 and 133. First we will calculate the prime factors of 129 and 133.

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 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 129 and 133.

LCM(129,133) = 31×71×191×431
LCM(129,133) = 17157

Factors of 129

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

1, 3, 43, 129

Factors of 133

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

1, 7, 19, 133

Least Common Multiple of 129 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 129 and 133, than apply into the LCM equation.

GCF(129,133) = 1
LCM(129,133) = ( 129 × 133) / 1
LCM(129,133) = 17157 / 1
LCM(129,133) = 17157

Properties of LCM 129 and 133

(i) The LCM of 133 and 129 is associative

LCM of 129 and 133 = LCM of 133 and 129

Related Least Common Multiples of 129

Related Least Common Multiples of 133

Frequently Asked Questions on LCM of 129 and 133

1. What is the LCM of 129 and 133?

Answer: LCM of 129 and 133 is 17157.

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 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 129 and 133?

Answer:

Least Common Multiple of 129 and 133 = 17157

Step 1: Find the prime factorization of 129

129 = 3 x 43

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 = 17157 = 3 x 7 x 19 x 43

Step 4: Therefore, the least common multiple of 129 and 133 is 17157.