Least Common Multiple of 314431 and 314438

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

• Least Common Multiple of 314431 and 314438 by Prime method
• Least Common Multiple of 314431 and 314438 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 314431 and 314438. First we will calculate the prime factors of 314431 and 314438.

Prime Factorization of 314431

Prime factors of 314431 are 13, 19,67. Prime factorization of 314431 in exponential form is:

314431 = 13¹×19²×67¹

Prime Factorization of 314438

Prime factors of 314438 are 2,157219. Prime factorization of 314438 in exponential form is:

314438 = 2¹×157219¹

Now multiplying the highest exponent prime factors to calculate the LCM of 314431 and 314438.

LCM(314431,314438) = 2¹×13¹×19²×67¹×157219¹
LCM(314431,314438) = 98869054778

Factors of 314431

List of positive integer factors of 314431 that divides 314431 without a remainder.

1, 13, 19, 67, 247, 361, 871, 1273, 4693, 16549, 24187, 314431

Factors of 314438

List of positive integer factors of 314438 that divides 314438 without a remainder.

1, 2, 157219, 314438

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 314431 and 314438, than apply into the LCM equation.

GCF(314431,314438) = 1
LCM(314431,314438) = ( 314431 × 314438) / 1
LCM(314431,314438) = 98869054778 / 1
LCM(314431,314438) = 98869054778

(i) The LCM of 314438 and 314431 is associative

LCM of 314431 and 314438 = LCM of 314438 and 314431

1. What is the LCM of 314431 and 314438?

Answer: LCM of 314431 and 314438 is 98869054778.

2. What are the Factors of 314431?

Answer: Factors of 314431 are 1, 13, 19, 67, 247, 361, 871, 1273, 4693, 16549, 24187, 314431. There are 12 integers that are factors of 314431. The greatest factor of 314431 is 314431.

3. What are the Factors of 314438?

Answer: Factors of 314438 are 1, 2, 157219, 314438. There are 4 integers that are factors of 314438. The greatest factor of 314438 is 314438.

4. How to Find the LCM of 314431 and 314438?

Answer:

Least Common Multiple of 314431 and 314438 = 98869054778

Step 1: Find the prime factorization of 314431

314431 = 13 x 19 x 19 x 67

Step 2: Find the prime factorization of 314438

314438 = 2 x 157219

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

LCM = 98869054778 = 2 x 13 x 19 x 19 x 67 x 157219

Step 4: Therefore, the least common multiple of 314431 and 314438 is 98869054778.