Least Common Multiple of 129 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 129 and 132 the smallest integer that is 5676 that is divisible by both numbers.

Least Common Multiple (LCM) of 129 and 132 is 5676.

LCM(129,132) = 5676

LCM of 129 and 132

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

LCM of:
and

Least Common Multiple of 129 and 132

LCM of 129 and 132 is 5676

Least common multiple can be found by multiplying the highest exponent prime factors of 129 and 132. First we will calculate the prime factors of 129 and 132.

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 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 129 and 132.

LCM(129,132) = 22×31×111×431
LCM(129,132) = 5676

Factors of 129

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

1, 3, 43, 129

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 129 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 129 and 132, than apply into the LCM equation.

GCF(129,132) = 3
LCM(129,132) = ( 129 × 132) / 3
LCM(129,132) = 17028 / 3
LCM(129,132) = 5676

Properties of LCM 129 and 132

(i) The LCM of 132 and 129 is associative

LCM of 129 and 132 = LCM of 132 and 129

Related Least Common Multiples of 129

Related Least Common Multiples of 132

Frequently Asked Questions on LCM of 129 and 132

1. What is the LCM of 129 and 132?

Answer: LCM of 129 and 132 is 5676.

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 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 129 and 132?

Answer:

Least Common Multiple of 129 and 132 = 5676

Step 1: Find the prime factorization of 129

129 = 3 x 43

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 = 5676 = 2 x 2 x 3 x 11 x 43

Step 4: Therefore, the least common multiple of 129 and 132 is 5676.