Least Common Multiple of 34174 and 34179

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

• Least Common Multiple of 34174 and 34179 by Prime method
• Least Common Multiple of 34174 and 34179 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 34174 and 34179. First we will calculate the prime factors of 34174 and 34179.

Prime Factorization of 34174

Prime factors of 34174 are 2, 7,2441. Prime factorization of 34174 in exponential form is:

34174 = 2¹×7¹×2441¹

Prime Factorization of 34179

Prime factors of 34179 are 3,11393. Prime factorization of 34179 in exponential form is:

34179 = 3¹×11393¹

Now multiplying the highest exponent prime factors to calculate the LCM of 34174 and 34179.

LCM(34174,34179) = 2¹×3¹×7¹×2441¹×11393¹
LCM(34174,34179) = 1168033146

Factors of 34174

List of positive integer factors of 34174 that divides 34174 without a remainder.

1, 2, 7, 14, 2441, 4882, 17087, 34174

Factors of 34179

List of positive integer factors of 34179 that divides 34179 without a remainder.

1, 3, 11393, 34179

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34174 and 34179, than apply into the LCM equation.

GCF(34174,34179) = 1
LCM(34174,34179) = ( 34174 × 34179) / 1
LCM(34174,34179) = 1168033146 / 1
LCM(34174,34179) = 1168033146

(i) The LCM of 34179 and 34174 is associative

LCM of 34174 and 34179 = LCM of 34179 and 34174

1. What is the LCM of 34174 and 34179?

Answer: LCM of 34174 and 34179 is 1168033146.

2. What are the Factors of 34174?

Answer: Factors of 34174 are 1, 2, 7, 14, 2441, 4882, 17087, 34174. There are 8 integers that are factors of 34174. The greatest factor of 34174 is 34174.

3. What are the Factors of 34179?

Answer: Factors of 34179 are 1, 3, 11393, 34179. There are 4 integers that are factors of 34179. The greatest factor of 34179 is 34179.

4. How to Find the LCM of 34174 and 34179?

Answer:

Least Common Multiple of 34174 and 34179 = 1168033146

Step 1: Find the prime factorization of 34174

34174 = 2 x 7 x 2441

Step 2: Find the prime factorization of 34179

34179 = 3 x 11393

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

LCM = 1168033146 = 2 x 3 x 7 x 2441 x 11393

Step 4: Therefore, the least common multiple of 34174 and 34179 is 1168033146.