Least Common Multiple of 29 and 33

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

• Least Common Multiple of 29 and 33 by Prime method
• Least Common Multiple of 29 and 33 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 29 and 33. First we will calculate the prime factors of 29 and 33.

Prime Factorization of 29

Prime factors of 29 are 29. Prime factorization of 29 in exponential form is:

29 = 29¹

Prime Factorization of 33

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

33 = 3¹×11¹

Now multiplying the highest exponent prime factors to calculate the LCM of 29 and 33.

LCM(29,33) = 3¹×11¹×29¹
LCM(29,33) = 957

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1, 29

Factors of 33

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

1, 3, 11, 33

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29 and 33, than apply into the LCM equation.

GCF(29,33) = 1
LCM(29,33) = ( 29 × 33) / 1
LCM(29,33) = 957 / 1
LCM(29,33) = 957

(i) The LCM of 33 and 29 is associative

LCM of 29 and 33 = LCM of 33 and 29

1. What is the LCM of 29 and 33?

Answer: LCM of 29 and 33 is 957.

2. What are the Factors of 29?

Answer: Factors of 29 are 1, 29. There are 2 integers that are factors of 29. The greatest factor of 29 is 29.

3. 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.

4. How to Find the LCM of 29 and 33?

Answer:

Least Common Multiple of 29 and 33 = 957

Step 1: Find the prime factorization of 29

29 = 29

Step 2: Find the prime factorization of 33

33 = 3 x 11

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

LCM = 957 = 3 x 11 x 29

Step 4: Therefore, the least common multiple of 29 and 33 is 957.