Least Common Multiple of 33154 and 33161

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

• Least Common Multiple of 33154 and 33161 by Prime method
• Least Common Multiple of 33154 and 33161 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 33154 and 33161. First we will calculate the prime factors of 33154 and 33161.

Prime Factorization of 33154

Prime factors of 33154 are 2, 11,137. Prime factorization of 33154 in exponential form is:

33154 = 2¹×11²×137¹

Prime Factorization of 33161

Prime factors of 33161 are 33161. Prime factorization of 33161 in exponential form is:

33161 = 33161¹

Now multiplying the highest exponent prime factors to calculate the LCM of 33154 and 33161.

LCM(33154,33161) = 2¹×11²×137¹×33161¹
LCM(33154,33161) = 1099419794

Factors of 33154

List of positive integer factors of 33154 that divides 33154 without a remainder.

1, 2, 11, 22, 121, 137, 242, 274, 1507, 3014, 16577, 33154

Factors of 33161

List of positive integer factors of 33161 that divides 33161 without a remainder.

1, 33161

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33154 and 33161, than apply into the LCM equation.

GCF(33154,33161) = 1
LCM(33154,33161) = ( 33154 × 33161) / 1
LCM(33154,33161) = 1099419794 / 1
LCM(33154,33161) = 1099419794

(i) The LCM of 33161 and 33154 is associative

LCM of 33154 and 33161 = LCM of 33161 and 33154

1. What is the LCM of 33154 and 33161?

Answer: LCM of 33154 and 33161 is 1099419794.

2. What are the Factors of 33154?

Answer: Factors of 33154 are 1, 2, 11, 22, 121, 137, 242, 274, 1507, 3014, 16577, 33154. There are 12 integers that are factors of 33154. The greatest factor of 33154 is 33154.

3. What are the Factors of 33161?

Answer: Factors of 33161 are 1, 33161. There are 2 integers that are factors of 33161. The greatest factor of 33161 is 33161.

4. How to Find the LCM of 33154 and 33161?

Answer:

Least Common Multiple of 33154 and 33161 = 1099419794

Step 1: Find the prime factorization of 33154

33154 = 2 x 11 x 11 x 137

Step 2: Find the prime factorization of 33161

33161 = 33161

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

LCM = 1099419794 = 2 x 11 x 11 x 137 x 33161

Step 4: Therefore, the least common multiple of 33154 and 33161 is 1099419794.