Least Common Multiple of 34233 and 34238

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

• Least Common Multiple of 34233 and 34238 by Prime method
• Least Common Multiple of 34233 and 34238 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 34233 and 34238. First we will calculate the prime factors of 34233 and 34238.

Prime Factorization of 34233

Prime factors of 34233 are 3,11411. Prime factorization of 34233 in exponential form is:

34233 = 3¹×11411¹

Prime Factorization of 34238

Prime factors of 34238 are 2, 17, 19,53. Prime factorization of 34238 in exponential form is:

34238 = 2¹×17¹×19¹×53¹

Now multiplying the highest exponent prime factors to calculate the LCM of 34233 and 34238.

LCM(34233,34238) = 2¹×3¹×17¹×19¹×53¹×11411¹
LCM(34233,34238) = 1172069454

Factors of 34233

List of positive integer factors of 34233 that divides 34233 without a remainder.

1, 3, 11411, 34233

Factors of 34238

List of positive integer factors of 34238 that divides 34238 without a remainder.

1, 2, 17, 19, 34, 38, 53, 106, 323, 646, 901, 1007, 1802, 2014, 17119, 34238

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34233 and 34238, than apply into the LCM equation.

GCF(34233,34238) = 1
LCM(34233,34238) = ( 34233 × 34238) / 1
LCM(34233,34238) = 1172069454 / 1
LCM(34233,34238) = 1172069454

(i) The LCM of 34238 and 34233 is associative

LCM of 34233 and 34238 = LCM of 34238 and 34233

1. What is the LCM of 34233 and 34238?

Answer: LCM of 34233 and 34238 is 1172069454.

2. What are the Factors of 34233?

Answer: Factors of 34233 are 1, 3, 11411, 34233. There are 4 integers that are factors of 34233. The greatest factor of 34233 is 34233.

3. What are the Factors of 34238?

Answer: Factors of 34238 are 1, 2, 17, 19, 34, 38, 53, 106, 323, 646, 901, 1007, 1802, 2014, 17119, 34238. There are 16 integers that are factors of 34238. The greatest factor of 34238 is 34238.

4. How to Find the LCM of 34233 and 34238?

Answer:

Least Common Multiple of 34233 and 34238 = 1172069454

Step 1: Find the prime factorization of 34233

34233 = 3 x 11411

Step 2: Find the prime factorization of 34238

34238 = 2 x 17 x 19 x 53

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

LCM = 1172069454 = 2 x 3 x 17 x 19 x 53 x 11411

Step 4: Therefore, the least common multiple of 34233 and 34238 is 1172069454.