Least Common Multiple of 15211 and 15215

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

• Least Common Multiple of 15211 and 15215 by Prime method
• Least Common Multiple of 15211 and 15215 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 15211 and 15215. First we will calculate the prime factors of 15211 and 15215.

Prime Factorization of 15211

Prime factors of 15211 are 7, 41,53. Prime factorization of 15211 in exponential form is:

15211 = 7¹×41¹×53¹

Prime Factorization of 15215

Prime factors of 15215 are 5, 17,179. Prime factorization of 15215 in exponential form is:

15215 = 5¹×17¹×179¹

Now multiplying the highest exponent prime factors to calculate the LCM of 15211 and 15215.

LCM(15211,15215) = 5¹×7¹×17¹×41¹×53¹×179¹
LCM(15211,15215) = 231435365

Factors of 15211

List of positive integer factors of 15211 that divides 15211 without a remainder.

1, 7, 41, 53, 287, 371, 2173, 15211

Factors of 15215

List of positive integer factors of 15215 that divides 15215 without a remainder.

1, 5, 17, 85, 179, 895, 3043, 15215

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15211 and 15215, than apply into the LCM equation.

GCF(15211,15215) = 1
LCM(15211,15215) = ( 15211 × 15215) / 1
LCM(15211,15215) = 231435365 / 1
LCM(15211,15215) = 231435365

(i) The LCM of 15215 and 15211 is associative

LCM of 15211 and 15215 = LCM of 15215 and 15211

1. What is the LCM of 15211 and 15215?

Answer: LCM of 15211 and 15215 is 231435365.

2. What are the Factors of 15211?

Answer: Factors of 15211 are 1, 7, 41, 53, 287, 371, 2173, 15211. There are 8 integers that are factors of 15211. The greatest factor of 15211 is 15211.

3. What are the Factors of 15215?

Answer: Factors of 15215 are 1, 5, 17, 85, 179, 895, 3043, 15215. There are 8 integers that are factors of 15215. The greatest factor of 15215 is 15215.

4. How to Find the LCM of 15211 and 15215?

Answer:

Least Common Multiple of 15211 and 15215 = 231435365

Step 1: Find the prime factorization of 15211

15211 = 7 x 41 x 53

Step 2: Find the prime factorization of 15215

15215 = 5 x 17 x 179

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

LCM = 231435365 = 5 x 7 x 17 x 41 x 53 x 179

Step 4: Therefore, the least common multiple of 15211 and 15215 is 231435365.