Least Common Multiple of 132 and 150

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 150 the smallest integer that is 3300 that is divisible by both numbers.

Least Common Multiple (LCM) of 132 and 150 is 3300.

LCM(132,150) = 3300

LCM of 132 and 150

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

LCM of:
and

Least Common Multiple of 132 and 150

LCM of 132 and 150 is 3300

Least common multiple can be found by multiplying the highest exponent prime factors of 132 and 150. First we will calculate the prime factors of 132 and 150.

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 150


2 150
3 75
5 25
5 5
1

Prime factors of 150 are 2, 3,5. Prime factorization of 150 in exponential form is:

150 = 21×31×52

Now multiplying the highest exponent prime factors to calculate the LCM of 132 and 150.

LCM(132,150) = 22×31×52×111
LCM(132,150) = 3300

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 150

List of positive integer factors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Least Common Multiple of 132 and 150 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 150, than apply into the LCM equation.

GCF(132,150) = 6
LCM(132,150) = ( 132 × 150) / 6
LCM(132,150) = 19800 / 6
LCM(132,150) = 3300

Properties of LCM 132 and 150

(i) The LCM of 150 and 132 is associative

LCM of 132 and 150 = LCM of 150 and 132

Related Least Common Multiples of 132

Related Least Common Multiples of 150

Frequently Asked Questions on LCM of 132 and 150

1. What is the LCM of 132 and 150?

Answer: LCM of 132 and 150 is 3300.

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 150?

Answer: Factors of 150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150. There are 12 integers that are factors of 150. The greatest factor of 150 is 150.

4. How to Find the LCM of 132 and 150?

Answer:

Least Common Multiple of 132 and 150 = 3300

Step 1: Find the prime factorization of 132

132 = 2 x 2 x 3 x 11

Step 2: Find the prime factorization of 150

150 = 2 x 3 x 5 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 = 3300 = 2 x 2 x 3 x 5 x 5 x 11

Step 4: Therefore, the least common multiple of 132 and 150 is 3300.