Least Common Multiple of 34227 and 34235

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

• Least Common Multiple of 34227 and 34235 by Prime method
• Least Common Multiple of 34227 and 34235 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 34227 and 34235. First we will calculate the prime factors of 34227 and 34235.

Prime Factorization of 34227

Prime factors of 34227 are 3,3803. Prime factorization of 34227 in exponential form is:

34227 = 3²×3803¹

Prime Factorization of 34235

Prime factors of 34235 are 5, 41,167. Prime factorization of 34235 in exponential form is:

34235 = 5¹×41¹×167¹

Now multiplying the highest exponent prime factors to calculate the LCM of 34227 and 34235.

LCM(34227,34235) = 3²×5¹×41¹×167¹×3803¹
LCM(34227,34235) = 1171761345

Factors of 34227

List of positive integer factors of 34227 that divides 34227 without a remainder.

1, 3, 9, 3803, 11409, 34227

Factors of 34235

List of positive integer factors of 34235 that divides 34235 without a remainder.

1, 5, 41, 167, 205, 835, 6847, 34235

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34227 and 34235, than apply into the LCM equation.

GCF(34227,34235) = 1
LCM(34227,34235) = ( 34227 × 34235) / 1
LCM(34227,34235) = 1171761345 / 1
LCM(34227,34235) = 1171761345

(i) The LCM of 34235 and 34227 is associative

LCM of 34227 and 34235 = LCM of 34235 and 34227

1. What is the LCM of 34227 and 34235?

Answer: LCM of 34227 and 34235 is 1171761345.

2. What are the Factors of 34227?

Answer: Factors of 34227 are 1, 3, 9, 3803, 11409, 34227. There are 6 integers that are factors of 34227. The greatest factor of 34227 is 34227.

3. What are the Factors of 34235?

Answer: Factors of 34235 are 1, 5, 41, 167, 205, 835, 6847, 34235. There are 8 integers that are factors of 34235. The greatest factor of 34235 is 34235.

4. How to Find the LCM of 34227 and 34235?

Answer:

Least Common Multiple of 34227 and 34235 = 1171761345

Step 1: Find the prime factorization of 34227

34227 = 3 x 3 x 3803

Step 2: Find the prime factorization of 34235

34235 = 5 x 41 x 167

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

LCM = 1171761345 = 3 x 3 x 5 x 41 x 167 x 3803

Step 4: Therefore, the least common multiple of 34227 and 34235 is 1171761345.