Least Common Multiple of 47313 and 47317

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

• Least Common Multiple of 47313 and 47317 by Prime method
• Least Common Multiple of 47313 and 47317 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 47313 and 47317. First we will calculate the prime factors of 47313 and 47317.

Prime Factorization of 47313

Prime factors of 47313 are 3, 7,751. Prime factorization of 47313 in exponential form is:

47313 = 3²×7¹×751¹

Prime Factorization of 47317

Prime factors of 47317 are 47317. Prime factorization of 47317 in exponential form is:

47317 = 47317¹

Now multiplying the highest exponent prime factors to calculate the LCM of 47313 and 47317.

LCM(47313,47317) = 3²×7¹×751¹×47317¹
LCM(47313,47317) = 2238709221

Factors of 47313

List of positive integer factors of 47313 that divides 47313 without a remainder.

1, 3, 7, 9, 21, 63, 751, 2253, 5257, 6759, 15771, 47313

Factors of 47317

List of positive integer factors of 47317 that divides 47317 without a remainder.

1, 47317

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47313 and 47317, than apply into the LCM equation.

GCF(47313,47317) = 1
LCM(47313,47317) = ( 47313 × 47317) / 1
LCM(47313,47317) = 2238709221 / 1
LCM(47313,47317) = 2238709221

(i) The LCM of 47317 and 47313 is associative

LCM of 47313 and 47317 = LCM of 47317 and 47313

1. What is the LCM of 47313 and 47317?

Answer: LCM of 47313 and 47317 is 2238709221.

2. What are the Factors of 47313?

Answer: Factors of 47313 are 1, 3, 7, 9, 21, 63, 751, 2253, 5257, 6759, 15771, 47313. There are 12 integers that are factors of 47313. The greatest factor of 47313 is 47313.

3. What are the Factors of 47317?

Answer: Factors of 47317 are 1, 47317. There are 2 integers that are factors of 47317. The greatest factor of 47317 is 47317.

4. How to Find the LCM of 47313 and 47317?

Answer:

Least Common Multiple of 47313 and 47317 = 2238709221

Step 1: Find the prime factorization of 47313

47313 = 3 x 3 x 7 x 751

Step 2: Find the prime factorization of 47317

47317 = 47317

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

LCM = 2238709221 = 3 x 3 x 7 x 751 x 47317

Step 4: Therefore, the least common multiple of 47313 and 47317 is 2238709221.