Least Common Multiple of 132 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 132 and 135 the smallest integer that is 5940 that is divisible by both numbers.

Least Common Multiple (LCM) of 132 and 135 is 5940.

LCM(132,135) = 5940

LCM of 132 and 135

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

LCM of:
and

Least Common Multiple of 132 and 135

LCM of 132 and 135 is 5940

Least common multiple can be found by multiplying the highest exponent prime factors of 132 and 135. First we will calculate the prime factors of 132 and 135.

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

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 132 and 135.

LCM(132,135) = 22×33×51×111
LCM(132,135) = 5940

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

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 132 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 132 and 135, than apply into the LCM equation.

GCF(132,135) = 3
LCM(132,135) = ( 132 × 135) / 3
LCM(132,135) = 17820 / 3
LCM(132,135) = 5940

Properties of LCM 132 and 135

(i) The LCM of 135 and 132 is associative

LCM of 132 and 135 = LCM of 135 and 132

Related Least Common Multiples of 132

Related Least Common Multiples of 135

Frequently Asked Questions on LCM of 132 and 135

1. What is the LCM of 132 and 135?

Answer: LCM of 132 and 135 is 5940.

2. 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.

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 132 and 135?

Answer:

Least Common Multiple of 132 and 135 = 5940

Step 1: Find the prime factorization of 132

132 = 2 x 2 x 3 x 11

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 = 5940 = 2 x 2 x 3 x 3 x 3 x 5 x 11

Step 4: Therefore, the least common multiple of 132 and 135 is 5940.