Least Common Multiple of 35177 and 35185

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

• Least Common Multiple of 35177 and 35185 by Prime method
• Least Common Multiple of 35177 and 35185 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 35177 and 35185. First we will calculate the prime factors of 35177 and 35185.

Prime Factorization of 35177

Prime factors of 35177 are 29,1213. Prime factorization of 35177 in exponential form is:

35177 = 29¹×1213¹

Prime Factorization of 35185

Prime factors of 35185 are 5, 31,227. Prime factorization of 35185 in exponential form is:

35185 = 5¹×31¹×227¹

Now multiplying the highest exponent prime factors to calculate the LCM of 35177 and 35185.

LCM(35177,35185) = 5¹×29¹×31¹×227¹×1213¹
LCM(35177,35185) = 1237702745

Factors of 35177

List of positive integer factors of 35177 that divides 35177 without a remainder.

1, 29, 1213, 35177

Factors of 35185

List of positive integer factors of 35185 that divides 35185 without a remainder.

1, 5, 31, 155, 227, 1135, 7037, 35185

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35177 and 35185, than apply into the LCM equation.

GCF(35177,35185) = 1
LCM(35177,35185) = ( 35177 × 35185) / 1
LCM(35177,35185) = 1237702745 / 1
LCM(35177,35185) = 1237702745

(i) The LCM of 35185 and 35177 is associative

LCM of 35177 and 35185 = LCM of 35185 and 35177

1. What is the LCM of 35177 and 35185?

Answer: LCM of 35177 and 35185 is 1237702745.

2. What are the Factors of 35177?

Answer: Factors of 35177 are 1, 29, 1213, 35177. There are 4 integers that are factors of 35177. The greatest factor of 35177 is 35177.

3. What are the Factors of 35185?

Answer: Factors of 35185 are 1, 5, 31, 155, 227, 1135, 7037, 35185. There are 8 integers that are factors of 35185. The greatest factor of 35185 is 35185.

4. How to Find the LCM of 35177 and 35185?

Answer:

Least Common Multiple of 35177 and 35185 = 1237702745

Step 1: Find the prime factorization of 35177

35177 = 29 x 1213

Step 2: Find the prime factorization of 35185

35185 = 5 x 31 x 227

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

LCM = 1237702745 = 5 x 29 x 31 x 227 x 1213

Step 4: Therefore, the least common multiple of 35177 and 35185 is 1237702745.