Least Common Multiple of 34204 and 34211

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

• Least Common Multiple of 34204 and 34211 by Prime method
• Least Common Multiple of 34204 and 34211 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 34204 and 34211. First we will calculate the prime factors of 34204 and 34211.

Prime Factorization of 34204

Prime factors of 34204 are 2, 17,503. Prime factorization of 34204 in exponential form is:

34204 = 2²×17¹×503¹

Prime Factorization of 34211

Prime factors of 34211 are 34211. Prime factorization of 34211 in exponential form is:

34211 = 34211¹

Now multiplying the highest exponent prime factors to calculate the LCM of 34204 and 34211.

LCM(34204,34211) = 2²×17¹×503¹×34211¹
LCM(34204,34211) = 1170153044

Factors of 34204

List of positive integer factors of 34204 that divides 34204 without a remainder.

1, 2, 4, 17, 34, 68, 503, 1006, 2012, 8551, 17102, 34204

Factors of 34211

List of positive integer factors of 34211 that divides 34211 without a remainder.

1, 34211

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34204 and 34211, than apply into the LCM equation.

GCF(34204,34211) = 1
LCM(34204,34211) = ( 34204 × 34211) / 1
LCM(34204,34211) = 1170153044 / 1
LCM(34204,34211) = 1170153044

(i) The LCM of 34211 and 34204 is associative

LCM of 34204 and 34211 = LCM of 34211 and 34204

1. What is the LCM of 34204 and 34211?

Answer: LCM of 34204 and 34211 is 1170153044.

2. What are the Factors of 34204?

Answer: Factors of 34204 are 1, 2, 4, 17, 34, 68, 503, 1006, 2012, 8551, 17102, 34204. There are 12 integers that are factors of 34204. The greatest factor of 34204 is 34204.

3. What are the Factors of 34211?

Answer: Factors of 34211 are 1, 34211. There are 2 integers that are factors of 34211. The greatest factor of 34211 is 34211.

4. How to Find the LCM of 34204 and 34211?

Answer:

Least Common Multiple of 34204 and 34211 = 1170153044

Step 1: Find the prime factorization of 34204

34204 = 2 x 2 x 17 x 503

Step 2: Find the prime factorization of 34211

34211 = 34211

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

LCM = 1170153044 = 2 x 2 x 17 x 503 x 34211

Step 4: Therefore, the least common multiple of 34204 and 34211 is 1170153044.