Least Common Multiple of 15207 and 15211

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

• Least Common Multiple of 15207 and 15211 by Prime method
• Least Common Multiple of 15207 and 15211 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 15207 and 15211. First we will calculate the prime factors of 15207 and 15211.

Prime Factorization of 15207

Prime factors of 15207 are 3, 37,137. Prime factorization of 15207 in exponential form is:

15207 = 3¹×37¹×137¹

Prime Factorization of 15211

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

15211 = 7¹×41¹×53¹

Now multiplying the highest exponent prime factors to calculate the LCM of 15207 and 15211.

LCM(15207,15211) = 3¹×7¹×37¹×41¹×53¹×137¹
LCM(15207,15211) = 231313677

Factors of 15207

List of positive integer factors of 15207 that divides 15207 without a remainder.

1, 3, 37, 111, 137, 411, 5069, 15207

Factors of 15211

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

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

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15207 and 15211, than apply into the LCM equation.

GCF(15207,15211) = 1
LCM(15207,15211) = ( 15207 × 15211) / 1
LCM(15207,15211) = 231313677 / 1
LCM(15207,15211) = 231313677

(i) The LCM of 15211 and 15207 is associative

LCM of 15207 and 15211 = LCM of 15211 and 15207

1. What is the LCM of 15207 and 15211?

Answer: LCM of 15207 and 15211 is 231313677.

2. What are the Factors of 15207?

Answer: Factors of 15207 are 1, 3, 37, 111, 137, 411, 5069, 15207. There are 8 integers that are factors of 15207. The greatest factor of 15207 is 15207.

3. 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.

4. How to Find the LCM of 15207 and 15211?

Answer:

Least Common Multiple of 15207 and 15211 = 231313677

Step 1: Find the prime factorization of 15207

15207 = 3 x 37 x 137

Step 2: Find the prime factorization of 15211

15211 = 7 x 41 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 = 231313677 = 3 x 7 x 37 x 41 x 53 x 137

Step 4: Therefore, the least common multiple of 15207 and 15211 is 231313677.