Least Common Multiple of 316438 and 316445

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

• Least Common Multiple of 316438 and 316445 by Prime method
• Least Common Multiple of 316438 and 316445 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 316438 and 316445. First we will calculate the prime factors of 316438 and 316445.

Prime Factorization of 316438

Prime factors of 316438 are 2, 17, 41,227. Prime factorization of 316438 in exponential form is:

316438 = 2¹×17¹×41¹×227¹

Prime Factorization of 316445

Prime factors of 316445 are 5, 19,3331. Prime factorization of 316445 in exponential form is:

316445 = 5¹×19¹×3331¹

Now multiplying the highest exponent prime factors to calculate the LCM of 316438 and 316445.

LCM(316438,316445) = 2¹×5¹×17¹×19¹×41¹×227¹×3331¹
LCM(316438,316445) = 100135222910

Factors of 316438

List of positive integer factors of 316438 that divides 316438 without a remainder.

1, 2, 17, 34, 41, 82, 227, 454, 697, 1394, 3859, 7718, 9307, 18614, 158219, 316438

Factors of 316445

List of positive integer factors of 316445 that divides 316445 without a remainder.

1, 5, 19, 95, 3331, 16655, 63289, 316445

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 316438 and 316445, than apply into the LCM equation.

GCF(316438,316445) = 1
LCM(316438,316445) = ( 316438 × 316445) / 1
LCM(316438,316445) = 100135222910 / 1
LCM(316438,316445) = 100135222910

(i) The LCM of 316445 and 316438 is associative

LCM of 316438 and 316445 = LCM of 316445 and 316438

1. What is the LCM of 316438 and 316445?

Answer: LCM of 316438 and 316445 is 100135222910.

2. What are the Factors of 316438?

Answer: Factors of 316438 are 1, 2, 17, 34, 41, 82, 227, 454, 697, 1394, 3859, 7718, 9307, 18614, 158219, 316438. There are 16 integers that are factors of 316438. The greatest factor of 316438 is 316438.

3. What are the Factors of 316445?

Answer: Factors of 316445 are 1, 5, 19, 95, 3331, 16655, 63289, 316445. There are 8 integers that are factors of 316445. The greatest factor of 316445 is 316445.

4. How to Find the LCM of 316438 and 316445?

Answer:

Least Common Multiple of 316438 and 316445 = 100135222910

Step 1: Find the prime factorization of 316438

316438 = 2 x 17 x 41 x 227

Step 2: Find the prime factorization of 316445

316445 = 5 x 19 x 3331

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

LCM = 100135222910 = 2 x 5 x 17 x 19 x 41 x 227 x 3331

Step 4: Therefore, the least common multiple of 316438 and 316445 is 100135222910.