Least Common Multiple of 132 and 136

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 136 the smallest integer that is 4488 that is divisible by both numbers.

Least Common Multiple (LCM) of 132 and 136 is 4488.

LCM(132,136) = 4488

LCM of 132 and 136

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

LCM of:
and

Least Common Multiple of 132 and 136

LCM of 132 and 136 is 4488

Least common multiple can be found by multiplying the highest exponent prime factors of 132 and 136. First we will calculate the prime factors of 132 and 136.

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 136


2 136
2 68
2 34
17 17
1

Prime factors of 136 are 2,17. Prime factorization of 136 in exponential form is:

136 = 23×171

Now multiplying the highest exponent prime factors to calculate the LCM of 132 and 136.

LCM(132,136) = 23×31×111×171
LCM(132,136) = 4488

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 136

List of positive integer factors of 136 that divides 136 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136

Least Common Multiple of 132 and 136 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 136, than apply into the LCM equation.

GCF(132,136) = 4
LCM(132,136) = ( 132 × 136) / 4
LCM(132,136) = 17952 / 4
LCM(132,136) = 4488

Properties of LCM 132 and 136

(i) The LCM of 136 and 132 is associative

LCM of 132 and 136 = LCM of 136 and 132

Related Least Common Multiples of 132

Related Least Common Multiples of 136

Frequently Asked Questions on LCM of 132 and 136

1. What is the LCM of 132 and 136?

Answer: LCM of 132 and 136 is 4488.

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 136?

Answer: Factors of 136 are 1, 2, 4, 8, 17, 34, 68, 136. There are 8 integers that are factors of 136. The greatest factor of 136 is 136.

4. How to Find the LCM of 132 and 136?

Answer:

Least Common Multiple of 132 and 136 = 4488

Step 1: Find the prime factorization of 132

132 = 2 x 2 x 3 x 11

Step 2: Find the prime factorization of 136

136 = 2 x 2 x 2 x 17

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

LCM = 4488 = 2 x 2 x 2 x 3 x 11 x 17

Step 4: Therefore, the least common multiple of 132 and 136 is 4488.