Least Common Multiple of 135 and 141

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 135 and 141 the smallest integer that is 6345 that is divisible by both numbers.

Least Common Multiple (LCM) of 135 and 141 is 6345.

LCM(135,141) = 6345

LCM of 135 and 141

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

LCM of:
and

Least Common Multiple of 135 and 141

LCM of 135 and 141 is 6345

Least common multiple can be found by multiplying the highest exponent prime factors of 135 and 141. First we will calculate the prime factors of 135 and 141.

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

Prime Factorization of 141


3 141
47 47
1

Prime factors of 141 are 3,47. Prime factorization of 141 in exponential form is:

141 = 31×471

Now multiplying the highest exponent prime factors to calculate the LCM of 135 and 141.

LCM(135,141) = 33×51×471
LCM(135,141) = 6345

Factors of 135

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

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

Factors of 141

List of positive integer factors of 141 that divides 141 without a remainder.

1, 3, 47, 141

Least Common Multiple of 135 and 141 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 135 and 141, than apply into the LCM equation.

GCF(135,141) = 3
LCM(135,141) = ( 135 × 141) / 3
LCM(135,141) = 19035 / 3
LCM(135,141) = 6345

Properties of LCM 135 and 141

(i) The LCM of 141 and 135 is associative

LCM of 135 and 141 = LCM of 141 and 135

Related Least Common Multiples of 135

Related Least Common Multiples of 141

Frequently Asked Questions on LCM of 135 and 141

1. What is the LCM of 135 and 141?

Answer: LCM of 135 and 141 is 6345.

2. 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.

3. What are the Factors of 141?

Answer: Factors of 141 are 1, 3, 47, 141. There are 4 integers that are factors of 141. The greatest factor of 141 is 141.

4. How to Find the LCM of 135 and 141?

Answer:

Least Common Multiple of 135 and 141 = 6345

Step 1: Find the prime factorization of 135

135 = 3 x 3 x 3 x 5

Step 2: Find the prime factorization of 141

141 = 3 x 47

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

LCM = 6345 = 3 x 3 x 3 x 5 x 47

Step 4: Therefore, the least common multiple of 135 and 141 is 6345.