Least Common Multiple of 133 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 133 and 135 the smallest integer that is 17955 that is divisible by both numbers.

Least Common Multiple (LCM) of 133 and 135 is 17955.

LCM(133,135) = 17955

LCM of 133 and 135

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

LCM of:
and

Least Common Multiple of 133 and 135

LCM of 133 and 135 is 17955

Least common multiple can be found by multiplying the highest exponent prime factors of 133 and 135. First we will calculate the prime factors of 133 and 135.

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

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 133 and 135.

LCM(133,135) = 33×51×71×191
LCM(133,135) = 17955

Factors of 133

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

1, 7, 19, 133

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 133 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 133 and 135, than apply into the LCM equation.

GCF(133,135) = 1
LCM(133,135) = ( 133 × 135) / 1
LCM(133,135) = 17955 / 1
LCM(133,135) = 17955

Properties of LCM 133 and 135

(i) The LCM of 135 and 133 is associative

LCM of 133 and 135 = LCM of 135 and 133

Related Least Common Multiples of 133

Related Least Common Multiples of 135

Frequently Asked Questions on LCM of 133 and 135

1. What is the LCM of 133 and 135?

Answer: LCM of 133 and 135 is 17955.

2. 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.

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 133 and 135?

Answer:

Least Common Multiple of 133 and 135 = 17955

Step 1: Find the prime factorization of 133

133 = 7 x 19

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 = 17955 = 3 x 3 x 3 x 5 x 7 x 19

Step 4: Therefore, the least common multiple of 133 and 135 is 17955.