Least Common Multiple of 315407 and 315413

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

• Least Common Multiple of 315407 and 315413 by Prime method
• Least Common Multiple of 315407 and 315413 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 315407 and 315413. First we will calculate the prime factors of 315407 and 315413.

Prime Factorization of 315407

Prime factors of 315407 are 315407. Prime factorization of 315407 in exponential form is:

315407 = 315407¹

Prime Factorization of 315413

Prime factors of 315413 are 7, 41,157. Prime factorization of 315413 in exponential form is:

315413 = 7²×41¹×157¹

Now multiplying the highest exponent prime factors to calculate the LCM of 315407 and 315413.

LCM(315407,315413) = 7²×41¹×157¹×315407¹
LCM(315407,315413) = 99483468091

Factors of 315407

List of positive integer factors of 315407 that divides 315407 without a remainder.

1, 315407

Factors of 315413

List of positive integer factors of 315413 that divides 315413 without a remainder.

1, 7, 41, 49, 157, 287, 1099, 2009, 6437, 7693, 45059, 315413

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 315407 and 315413, than apply into the LCM equation.

GCF(315407,315413) = 1
LCM(315407,315413) = ( 315407 × 315413) / 1
LCM(315407,315413) = 99483468091 / 1
LCM(315407,315413) = 99483468091

(i) The LCM of 315413 and 315407 is associative

LCM of 315407 and 315413 = LCM of 315413 and 315407

1. What is the LCM of 315407 and 315413?

Answer: LCM of 315407 and 315413 is 99483468091.

2. What are the Factors of 315407?

Answer: Factors of 315407 are 1, 315407. There are 2 integers that are factors of 315407. The greatest factor of 315407 is 315407.

3. What are the Factors of 315413?

Answer: Factors of 315413 are 1, 7, 41, 49, 157, 287, 1099, 2009, 6437, 7693, 45059, 315413. There are 12 integers that are factors of 315413. The greatest factor of 315413 is 315413.

4. How to Find the LCM of 315407 and 315413?

Answer:

Least Common Multiple of 315407 and 315413 = 99483468091

Step 1: Find the prime factorization of 315407

315407 = 315407

Step 2: Find the prime factorization of 315413

315413 = 7 x 7 x 41 x 157

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

LCM = 99483468091 = 7 x 7 x 41 x 157 x 315407

Step 4: Therefore, the least common multiple of 315407 and 315413 is 99483468091.