Least Common Multiple of 135 and 143

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 143 the smallest integer that is 19305 that is divisible by both numbers.

Least Common Multiple (LCM) of 135 and 143 is 19305.

LCM(135,143) = 19305

LCM of 135 and 143

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

LCM of:
and

Least Common Multiple of 135 and 143

LCM of 135 and 143 is 19305

Least common multiple can be found by multiplying the highest exponent prime factors of 135 and 143. First we will calculate the prime factors of 135 and 143.

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 143


11 143
13 13
1

Prime factors of 143 are 11,13. Prime factorization of 143 in exponential form is:

143 = 111×131

Now multiplying the highest exponent prime factors to calculate the LCM of 135 and 143.

LCM(135,143) = 33×51×111×131
LCM(135,143) = 19305

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 143

List of positive integer factors of 143 that divides 143 without a remainder.

1, 11, 13, 143

Least Common Multiple of 135 and 143 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 143, than apply into the LCM equation.

GCF(135,143) = 1
LCM(135,143) = ( 135 × 143) / 1
LCM(135,143) = 19305 / 1
LCM(135,143) = 19305

Properties of LCM 135 and 143

(i) The LCM of 143 and 135 is associative

LCM of 135 and 143 = LCM of 143 and 135

Related Least Common Multiples of 135

Related Least Common Multiples of 143

Frequently Asked Questions on LCM of 135 and 143

1. What is the LCM of 135 and 143?

Answer: LCM of 135 and 143 is 19305.

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 143?

Answer: Factors of 143 are 1, 11, 13, 143. There are 4 integers that are factors of 143. The greatest factor of 143 is 143.

4. How to Find the LCM of 135 and 143?

Answer:

Least Common Multiple of 135 and 143 = 19305

Step 1: Find the prime factorization of 135

135 = 3 x 3 x 3 x 5

Step 2: Find the prime factorization of 143

143 = 11 x 13

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

LCM = 19305 = 3 x 3 x 3 x 5 x 11 x 13

Step 4: Therefore, the least common multiple of 135 and 143 is 19305.