Least Common Multiple of 34249 and 34255

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

• Least Common Multiple of 34249 and 34255 by Prime method
• Least Common Multiple of 34249 and 34255 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 34249 and 34255. First we will calculate the prime factors of 34249 and 34255.

Prime Factorization of 34249

Prime factors of 34249 are 29,1181. Prime factorization of 34249 in exponential form is:

34249 = 29¹×1181¹

Prime Factorization of 34255

Prime factors of 34255 are 5, 13, 17,31. Prime factorization of 34255 in exponential form is:

34255 = 5¹×13¹×17¹×31¹

Now multiplying the highest exponent prime factors to calculate the LCM of 34249 and 34255.

LCM(34249,34255) = 5¹×13¹×17¹×29¹×31¹×1181¹
LCM(34249,34255) = 1173199495

Factors of 34249

List of positive integer factors of 34249 that divides 34249 without a remainder.

1, 29, 1181, 34249

Factors of 34255

List of positive integer factors of 34255 that divides 34255 without a remainder.

1, 5, 13, 17, 31, 65, 85, 155, 221, 403, 527, 1105, 2015, 2635, 6851, 34255

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34249 and 34255, than apply into the LCM equation.

GCF(34249,34255) = 1
LCM(34249,34255) = ( 34249 × 34255) / 1
LCM(34249,34255) = 1173199495 / 1
LCM(34249,34255) = 1173199495

(i) The LCM of 34255 and 34249 is associative

LCM of 34249 and 34255 = LCM of 34255 and 34249

1. What is the LCM of 34249 and 34255?

Answer: LCM of 34249 and 34255 is 1173199495.

2. What are the Factors of 34249?

Answer: Factors of 34249 are 1, 29, 1181, 34249. There are 4 integers that are factors of 34249. The greatest factor of 34249 is 34249.

3. What are the Factors of 34255?

Answer: Factors of 34255 are 1, 5, 13, 17, 31, 65, 85, 155, 221, 403, 527, 1105, 2015, 2635, 6851, 34255. There are 16 integers that are factors of 34255. The greatest factor of 34255 is 34255.

4. How to Find the LCM of 34249 and 34255?

Answer:

Least Common Multiple of 34249 and 34255 = 1173199495

Step 1: Find the prime factorization of 34249

34249 = 29 x 1181

Step 2: Find the prime factorization of 34255

34255 = 5 x 13 x 17 x 31

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

LCM = 1173199495 = 5 x 13 x 17 x 29 x 31 x 1181

Step 4: Therefore, the least common multiple of 34249 and 34255 is 1173199495.