Least Common Multiple of 34175 and 34181

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

• Least Common Multiple of 34175 and 34181 by Prime method
• Least Common Multiple of 34175 and 34181 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 34175 and 34181. First we will calculate the prime factors of 34175 and 34181.

Prime Factorization of 34175

Prime factors of 34175 are 5,1367. Prime factorization of 34175 in exponential form is:

34175 = 5²×1367¹

Prime Factorization of 34181

Prime factors of 34181 are 7, 19,257. Prime factorization of 34181 in exponential form is:

34181 = 7¹×19¹×257¹

Now multiplying the highest exponent prime factors to calculate the LCM of 34175 and 34181.

LCM(34175,34181) = 5²×7¹×19¹×257¹×1367¹
LCM(34175,34181) = 1168135675

Factors of 34175

List of positive integer factors of 34175 that divides 34175 without a remainder.

1, 5, 25, 1367, 6835, 34175

Factors of 34181

List of positive integer factors of 34181 that divides 34181 without a remainder.

1, 7, 19, 133, 257, 1799, 4883, 34181

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34175 and 34181, than apply into the LCM equation.

GCF(34175,34181) = 1
LCM(34175,34181) = ( 34175 × 34181) / 1
LCM(34175,34181) = 1168135675 / 1
LCM(34175,34181) = 1168135675

(i) The LCM of 34181 and 34175 is associative

LCM of 34175 and 34181 = LCM of 34181 and 34175

1. What is the LCM of 34175 and 34181?

Answer: LCM of 34175 and 34181 is 1168135675.

2. What are the Factors of 34175?

Answer: Factors of 34175 are 1, 5, 25, 1367, 6835, 34175. There are 6 integers that are factors of 34175. The greatest factor of 34175 is 34175.

3. What are the Factors of 34181?

Answer: Factors of 34181 are 1, 7, 19, 133, 257, 1799, 4883, 34181. There are 8 integers that are factors of 34181. The greatest factor of 34181 is 34181.

4. How to Find the LCM of 34175 and 34181?

Answer:

Least Common Multiple of 34175 and 34181 = 1168135675

Step 1: Find the prime factorization of 34175

34175 = 5 x 5 x 1367

Step 2: Find the prime factorization of 34181

34181 = 7 x 19 x 257

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

LCM = 1168135675 = 5 x 5 x 7 x 19 x 257 x 1367

Step 4: Therefore, the least common multiple of 34175 and 34181 is 1168135675.