Least Common Multiple of 15202 and 15207

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

• Least Common Multiple of 15202 and 15207 by Prime method
• Least Common Multiple of 15202 and 15207 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 15202 and 15207. First we will calculate the prime factors of 15202 and 15207.

Prime Factorization of 15202

Prime factors of 15202 are 2, 11,691. Prime factorization of 15202 in exponential form is:

15202 = 2¹×11¹×691¹

Prime Factorization of 15207

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

15207 = 3¹×37¹×137¹

Now multiplying the highest exponent prime factors to calculate the LCM of 15202 and 15207.

LCM(15202,15207) = 2¹×3¹×11¹×37¹×137¹×691¹
LCM(15202,15207) = 231176814

Factors of 15202

List of positive integer factors of 15202 that divides 15202 without a remainder.

1, 2, 11, 22, 691, 1382, 7601, 15202

Factors of 15207

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

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

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15202 and 15207, than apply into the LCM equation.

GCF(15202,15207) = 1
LCM(15202,15207) = ( 15202 × 15207) / 1
LCM(15202,15207) = 231176814 / 1
LCM(15202,15207) = 231176814

(i) The LCM of 15207 and 15202 is associative

LCM of 15202 and 15207 = LCM of 15207 and 15202

1. What is the LCM of 15202 and 15207?

Answer: LCM of 15202 and 15207 is 231176814.

2. What are the Factors of 15202?

Answer: Factors of 15202 are 1, 2, 11, 22, 691, 1382, 7601, 15202. There are 8 integers that are factors of 15202. The greatest factor of 15202 is 15202.

3. 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.

4. How to Find the LCM of 15202 and 15207?

Answer:

Least Common Multiple of 15202 and 15207 = 231176814

Step 1: Find the prime factorization of 15202

15202 = 2 x 11 x 691

Step 2: Find the prime factorization of 15207

15207 = 3 x 37 x 137

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

LCM = 231176814 = 2 x 3 x 11 x 37 x 137 x 691

Step 4: Therefore, the least common multiple of 15202 and 15207 is 231176814.