Least Common Multiple of 35229 and 35234

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

• Least Common Multiple of 35229 and 35234 by Prime method
• Least Common Multiple of 35229 and 35234 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 35229 and 35234. First we will calculate the prime factors of 35229 and 35234.

Prime Factorization of 35229

Prime factors of 35229 are 3,11743. Prime factorization of 35229 in exponential form is:

35229 = 3¹×11743¹

Prime Factorization of 35234

Prime factors of 35234 are 2, 79,223. Prime factorization of 35234 in exponential form is:

35234 = 2¹×79¹×223¹

Now multiplying the highest exponent prime factors to calculate the LCM of 35229 and 35234.

LCM(35229,35234) = 2¹×3¹×79¹×223¹×11743¹
LCM(35229,35234) = 1241258586

Factors of 35229

List of positive integer factors of 35229 that divides 35229 without a remainder.

1, 3, 11743, 35229

Factors of 35234

List of positive integer factors of 35234 that divides 35234 without a remainder.

1, 2, 79, 158, 223, 446, 17617, 35234

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35229 and 35234, than apply into the LCM equation.

GCF(35229,35234) = 1
LCM(35229,35234) = ( 35229 × 35234) / 1
LCM(35229,35234) = 1241258586 / 1
LCM(35229,35234) = 1241258586

(i) The LCM of 35234 and 35229 is associative

LCM of 35229 and 35234 = LCM of 35234 and 35229

1. What is the LCM of 35229 and 35234?

Answer: LCM of 35229 and 35234 is 1241258586.

2. What are the Factors of 35229?

Answer: Factors of 35229 are 1, 3, 11743, 35229. There are 4 integers that are factors of 35229. The greatest factor of 35229 is 35229.

3. What are the Factors of 35234?

Answer: Factors of 35234 are 1, 2, 79, 158, 223, 446, 17617, 35234. There are 8 integers that are factors of 35234. The greatest factor of 35234 is 35234.

4. How to Find the LCM of 35229 and 35234?

Answer:

Least Common Multiple of 35229 and 35234 = 1241258586

Step 1: Find the prime factorization of 35229

35229 = 3 x 11743

Step 2: Find the prime factorization of 35234

35234 = 2 x 79 x 223

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

LCM = 1241258586 = 2 x 3 x 79 x 223 x 11743

Step 4: Therefore, the least common multiple of 35229 and 35234 is 1241258586.