Least Common Multiple of 129 and 135

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 135 the smallest integer that is 5805 that is divisible by both numbers.

Least Common Multiple (LCM) of 129 and 135 is 5805.

LCM(129,135) = 5805

LCM of 129 and 135

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

LCM of:
and

Least Common Multiple of 129 and 135

LCM of 129 and 135 is 5805

Least common multiple can be found by multiplying the highest exponent prime factors of 129 and 135. First we will calculate the prime factors of 129 and 135.

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 135


3 135
3 45
3 15
5 5
1

Prime factors of 135 are 3,5. Prime factorization of 135 in exponential form is:

135 = 33×51

Now multiplying the highest exponent prime factors to calculate the LCM of 129 and 135.

LCM(129,135) = 33×51×431
LCM(129,135) = 5805

Factors of 129

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

1, 3, 43, 129

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Least Common Multiple of 129 and 135 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 135, than apply into the LCM equation.

GCF(129,135) = 3
LCM(129,135) = ( 129 × 135) / 3
LCM(129,135) = 17415 / 3
LCM(129,135) = 5805

Properties of LCM 129 and 135

(i) The LCM of 135 and 129 is associative

LCM of 129 and 135 = LCM of 135 and 129

Related Least Common Multiples of 129

Related Least Common Multiples of 135

Frequently Asked Questions on LCM of 129 and 135

1. What is the LCM of 129 and 135?

Answer: LCM of 129 and 135 is 5805.

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 135?

Answer: Factors of 135 are 1, 3, 5, 9, 15, 27, 45, 135. There are 8 integers that are factors of 135. The greatest factor of 135 is 135.

4. How to Find the LCM of 129 and 135?

Answer:

Least Common Multiple of 129 and 135 = 5805

Step 1: Find the prime factorization of 129

129 = 3 x 43

Step 2: Find the prime factorization of 135

135 = 3 x 3 x 3 x 5

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

LCM = 5805 = 3 x 3 x 3 x 5 x 43

Step 4: Therefore, the least common multiple of 129 and 135 is 5805.