Least Common Multiple of 10318 and 10319

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

• Least Common Multiple of 10318 and 10319 by Prime method
• Least Common Multiple of 10318 and 10319 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 10318 and 10319. First we will calculate the prime factors of 10318 and 10319.

Prime Factorization of 10318

Prime factors of 10318 are 2, 7, 11,67. Prime factorization of 10318 in exponential form is:

10318 = 2¹×7¹×11¹×67¹

Prime Factorization of 10319

Prime factors of 10319 are 17,607. Prime factorization of 10319 in exponential form is:

10319 = 17¹×607¹

Now multiplying the highest exponent prime factors to calculate the LCM of 10318 and 10319.

LCM(10318,10319) = 2¹×7¹×11¹×17¹×67¹×607¹
LCM(10318,10319) = 106471442

Factors of 10318

List of positive integer factors of 10318 that divides 10318 without a remainder.

1, 2, 7, 11, 14, 22, 67, 77, 134, 154, 469, 737, 938, 1474, 5159, 10318

Factors of 10319

List of positive integer factors of 10319 that divides 10319 without a remainder.

1, 17, 607, 10319

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10318 and 10319, than apply into the LCM equation.

GCF(10318,10319) = 1
LCM(10318,10319) = ( 10318 × 10319) / 1
LCM(10318,10319) = 106471442 / 1
LCM(10318,10319) = 106471442

(i) The LCM of 10319 and 10318 is associative

LCM of 10318 and 10319 = LCM of 10319 and 10318

1. What is the LCM of 10318 and 10319?

Answer: LCM of 10318 and 10319 is 106471442.

2. What are the Factors of 10318?

Answer: Factors of 10318 are 1, 2, 7, 11, 14, 22, 67, 77, 134, 154, 469, 737, 938, 1474, 5159, 10318. There are 16 integers that are factors of 10318. The greatest factor of 10318 is 10318.

3. What are the Factors of 10319?

Answer: Factors of 10319 are 1, 17, 607, 10319. There are 4 integers that are factors of 10319. The greatest factor of 10319 is 10319.

4. How to Find the LCM of 10318 and 10319?

Answer:

Least Common Multiple of 10318 and 10319 = 106471442

Step 1: Find the prime factorization of 10318

10318 = 2 x 7 x 11 x 67

Step 2: Find the prime factorization of 10319

10319 = 17 x 607

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

LCM = 106471442 = 2 x 7 x 11 x 17 x 67 x 607

Step 4: Therefore, the least common multiple of 10318 and 10319 is 106471442.