Least Common Multiple of 33155 and 33163

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

• Least Common Multiple of 33155 and 33163 by Prime method
• Least Common Multiple of 33155 and 33163 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 33155 and 33163. First we will calculate the prime factors of 33155 and 33163.

Prime Factorization of 33155

Prime factors of 33155 are 5, 19,349. Prime factorization of 33155 in exponential form is:

33155 = 5¹×19¹×349¹

Prime Factorization of 33163

Prime factors of 33163 are 13,2551. Prime factorization of 33163 in exponential form is:

33163 = 13¹×2551¹

Now multiplying the highest exponent prime factors to calculate the LCM of 33155 and 33163.

LCM(33155,33163) = 5¹×13¹×19¹×349¹×2551¹
LCM(33155,33163) = 1099519265

Factors of 33155

List of positive integer factors of 33155 that divides 33155 without a remainder.

1, 5, 19, 95, 349, 1745, 6631, 33155

Factors of 33163

List of positive integer factors of 33163 that divides 33163 without a remainder.

1, 13, 2551, 33163

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33155 and 33163, than apply into the LCM equation.

GCF(33155,33163) = 1
LCM(33155,33163) = ( 33155 × 33163) / 1
LCM(33155,33163) = 1099519265 / 1
LCM(33155,33163) = 1099519265

(i) The LCM of 33163 and 33155 is associative

LCM of 33155 and 33163 = LCM of 33163 and 33155

1. What is the LCM of 33155 and 33163?

Answer: LCM of 33155 and 33163 is 1099519265.

2. What are the Factors of 33155?

Answer: Factors of 33155 are 1, 5, 19, 95, 349, 1745, 6631, 33155. There are 8 integers that are factors of 33155. The greatest factor of 33155 is 33155.

3. What are the Factors of 33163?

Answer: Factors of 33163 are 1, 13, 2551, 33163. There are 4 integers that are factors of 33163. The greatest factor of 33163 is 33163.

4. How to Find the LCM of 33155 and 33163?

Answer:

Least Common Multiple of 33155 and 33163 = 1099519265

Step 1: Find the prime factorization of 33155

33155 = 5 x 19 x 349

Step 2: Find the prime factorization of 33163

33163 = 13 x 2551

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

LCM = 1099519265 = 5 x 13 x 19 x 349 x 2551

Step 4: Therefore, the least common multiple of 33155 and 33163 is 1099519265.