Least Common Multiple of 34251 and 34259

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

• Least Common Multiple of 34251 and 34259 by Prime method
• Least Common Multiple of 34251 and 34259 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 34251 and 34259. First we will calculate the prime factors of 34251 and 34259.

Prime Factorization of 34251

Prime factors of 34251 are 3, 7,233. Prime factorization of 34251 in exponential form is:

34251 = 3¹×7²×233¹

Prime Factorization of 34259

Prime factors of 34259 are 34259. Prime factorization of 34259 in exponential form is:

34259 = 34259¹

Now multiplying the highest exponent prime factors to calculate the LCM of 34251 and 34259.

LCM(34251,34259) = 3¹×7²×233¹×34259¹
LCM(34251,34259) = 1173405009

Factors of 34251

List of positive integer factors of 34251 that divides 34251 without a remainder.

1, 3, 7, 21, 49, 147, 233, 699, 1631, 4893, 11417, 34251

Factors of 34259

List of positive integer factors of 34259 that divides 34259 without a remainder.

1, 34259

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34251 and 34259, than apply into the LCM equation.

GCF(34251,34259) = 1
LCM(34251,34259) = ( 34251 × 34259) / 1
LCM(34251,34259) = 1173405009 / 1
LCM(34251,34259) = 1173405009

(i) The LCM of 34259 and 34251 is associative

LCM of 34251 and 34259 = LCM of 34259 and 34251

1. What is the LCM of 34251 and 34259?

Answer: LCM of 34251 and 34259 is 1173405009.

2. What are the Factors of 34251?

Answer: Factors of 34251 are 1, 3, 7, 21, 49, 147, 233, 699, 1631, 4893, 11417, 34251. There are 12 integers that are factors of 34251. The greatest factor of 34251 is 34251.

3. What are the Factors of 34259?

Answer: Factors of 34259 are 1, 34259. There are 2 integers that are factors of 34259. The greatest factor of 34259 is 34259.

4. How to Find the LCM of 34251 and 34259?

Answer:

Least Common Multiple of 34251 and 34259 = 1173405009

Step 1: Find the prime factorization of 34251

34251 = 3 x 7 x 7 x 233

Step 2: Find the prime factorization of 34259

34259 = 34259

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

LCM = 1173405009 = 3 x 7 x 7 x 233 x 34259

Step 4: Therefore, the least common multiple of 34251 and 34259 is 1173405009.