Least Common Multiple of 33 and 36

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 33 and 36 the smallest integer that is 396 that is divisible by both numbers.

Least Common Multiple (LCM) of 33 and 36 is 396.

LCM(33,36) = 396

LCM of 33 and 36

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

LCM of:
and

Least Common Multiple of 33 and 36

LCM of 33 and 36 is 396

Least common multiple can be found by multiplying the highest exponent prime factors of 33 and 36. First we will calculate the prime factors of 33 and 36.

Prime Factorization of 33


3 33
11 11
1

Prime factors of 33 are 3,11. Prime factorization of 33 in exponential form is:

33 = 31×111

Prime Factorization of 36


2 36
2 18
3 9
3 3
1

Prime factors of 36 are 2,3. Prime factorization of 36 in exponential form is:

36 = 22×32

Now multiplying the highest exponent prime factors to calculate the LCM of 33 and 36.

LCM(33,36) = 22×32×111
LCM(33,36) = 396

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Least Common Multiple of 33 and 36 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33 and 36, than apply into the LCM equation.

GCF(33,36) = 3
LCM(33,36) = ( 33 × 36) / 3
LCM(33,36) = 1188 / 3
LCM(33,36) = 396

Properties of LCM 33 and 36

(i) The LCM of 36 and 33 is associative

LCM of 33 and 36 = LCM of 36 and 33

Related Least Common Multiples of 33

Related Least Common Multiples of 36

Frequently Asked Questions on LCM of 33 and 36

1. What is the LCM of 33 and 36?

Answer: LCM of 33 and 36 is 396.

2. What are the Factors of 33?

Answer: Factors of 33 are 1, 3, 11, 33. There are 4 integers that are factors of 33. The greatest factor of 33 is 33.

3. What are the Factors of 36?

Answer: Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36. There are 9 integers that are factors of 36. The greatest factor of 36 is 36.

4. How to Find the LCM of 33 and 36?

Answer:

Least Common Multiple of 33 and 36 = 396

Step 1: Find the prime factorization of 33

33 = 3 x 11

Step 2: Find the prime factorization of 36

36 = 2 x 2 x 3 x 3

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

LCM = 396 = 2 x 2 x 3 x 3 x 11

Step 4: Therefore, the least common multiple of 33 and 36 is 396.