Least Common Multiple of 15207 and 15212

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

• Least Common Multiple of 15207 and 15212 by Prime method
• Least Common Multiple of 15207 and 15212 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 15207 and 15212. First we will calculate the prime factors of 15207 and 15212.

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 15212

Prime factors of 15212 are 2,3803. Prime factorization of 15212 in exponential form is:

15212 = 2²×3803¹

Now multiplying the highest exponent prime factors to calculate the LCM of 15207 and 15212.

LCM(15207,15212) = 2²×3¹×37¹×137¹×3803¹
LCM(15207,15212) = 231328884

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 15212

List of positive integer factors of 15212 that divides 15212 without a remainder.

1, 2, 4, 3803, 7606, 15212

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15207 and 15212, than apply into the LCM equation.

GCF(15207,15212) = 1
LCM(15207,15212) = ( 15207 × 15212) / 1
LCM(15207,15212) = 231328884 / 1
LCM(15207,15212) = 231328884

(i) The LCM of 15212 and 15207 is associative

LCM of 15207 and 15212 = LCM of 15212 and 15207

1. What is the LCM of 15207 and 15212?

Answer: LCM of 15207 and 15212 is 231328884.

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 15212?

Answer: Factors of 15212 are 1, 2, 4, 3803, 7606, 15212. There are 6 integers that are factors of 15212. The greatest factor of 15212 is 15212.

4. How to Find the LCM of 15207 and 15212?

Answer:

Least Common Multiple of 15207 and 15212 = 231328884

Step 1: Find the prime factorization of 15207

15207 = 3 x 37 x 137

Step 2: Find the prime factorization of 15212

15212 = 2 x 2 x 3803

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

LCM = 231328884 = 2 x 2 x 3 x 37 x 137 x 3803

Step 4: Therefore, the least common multiple of 15207 and 15212 is 231328884.