Least Common Multiple of 34173 and 34177

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

• Least Common Multiple of 34173 and 34177 by Prime method
• Least Common Multiple of 34173 and 34177 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 34173 and 34177. First we will calculate the prime factors of 34173 and 34177.

Prime Factorization of 34173

Prime factors of 34173 are 3,3797. Prime factorization of 34173 in exponential form is:

34173 = 3²×3797¹

Prime Factorization of 34177

Prime factors of 34177 are 11, 13,239. Prime factorization of 34177 in exponential form is:

34177 = 11¹×13¹×239¹

Now multiplying the highest exponent prime factors to calculate the LCM of 34173 and 34177.

LCM(34173,34177) = 3²×11¹×13¹×239¹×3797¹
LCM(34173,34177) = 1167930621

Factors of 34173

List of positive integer factors of 34173 that divides 34173 without a remainder.

1, 3, 9, 3797, 11391, 34173

Factors of 34177

List of positive integer factors of 34177 that divides 34177 without a remainder.

1, 11, 13, 143, 239, 2629, 3107, 34177

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34173 and 34177, than apply into the LCM equation.

GCF(34173,34177) = 1
LCM(34173,34177) = ( 34173 × 34177) / 1
LCM(34173,34177) = 1167930621 / 1
LCM(34173,34177) = 1167930621

(i) The LCM of 34177 and 34173 is associative

LCM of 34173 and 34177 = LCM of 34177 and 34173

1. What is the LCM of 34173 and 34177?

Answer: LCM of 34173 and 34177 is 1167930621.

2. What are the Factors of 34173?

Answer: Factors of 34173 are 1, 3, 9, 3797, 11391, 34173. There are 6 integers that are factors of 34173. The greatest factor of 34173 is 34173.

3. What are the Factors of 34177?

Answer: Factors of 34177 are 1, 11, 13, 143, 239, 2629, 3107, 34177. There are 8 integers that are factors of 34177. The greatest factor of 34177 is 34177.

4. How to Find the LCM of 34173 and 34177?

Answer:

Least Common Multiple of 34173 and 34177 = 1167930621

Step 1: Find the prime factorization of 34173

34173 = 3 x 3 x 3797

Step 2: Find the prime factorization of 34177

34177 = 11 x 13 x 239

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

LCM = 1167930621 = 3 x 3 x 11 x 13 x 239 x 3797

Step 4: Therefore, the least common multiple of 34173 and 34177 is 1167930621.