Least Common Multiple of 313419 and 313426

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

• Least Common Multiple of 313419 and 313426 by Prime method
• Least Common Multiple of 313419 and 313426 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 313419 and 313426. First we will calculate the prime factors of 313419 and 313426.

Prime Factorization of 313419

Prime factors of 313419 are 3,104473. Prime factorization of 313419 in exponential form is:

313419 = 3¹×104473¹

Prime Factorization of 313426

Prime factors of 313426 are 2, 67,2339. Prime factorization of 313426 in exponential form is:

313426 = 2¹×67¹×2339¹

Now multiplying the highest exponent prime factors to calculate the LCM of 313419 and 313426.

LCM(313419,313426) = 2¹×3¹×67¹×2339¹×104473¹
LCM(313419,313426) = 98233663494

Factors of 313419

List of positive integer factors of 313419 that divides 313419 without a remainder.

1, 3, 104473, 313419

Factors of 313426

List of positive integer factors of 313426 that divides 313426 without a remainder.

1, 2, 67, 134, 2339, 4678, 156713, 313426

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 313419 and 313426, than apply into the LCM equation.

GCF(313419,313426) = 1
LCM(313419,313426) = ( 313419 × 313426) / 1
LCM(313419,313426) = 98233663494 / 1
LCM(313419,313426) = 98233663494

(i) The LCM of 313426 and 313419 is associative

LCM of 313419 and 313426 = LCM of 313426 and 313419

1. What is the LCM of 313419 and 313426?

Answer: LCM of 313419 and 313426 is 98233663494.

2. What are the Factors of 313419?

Answer: Factors of 313419 are 1, 3, 104473, 313419. There are 4 integers that are factors of 313419. The greatest factor of 313419 is 313419.

3. What are the Factors of 313426?

Answer: Factors of 313426 are 1, 2, 67, 134, 2339, 4678, 156713, 313426. There are 8 integers that are factors of 313426. The greatest factor of 313426 is 313426.

4. How to Find the LCM of 313419 and 313426?

Answer:

Least Common Multiple of 313419 and 313426 = 98233663494

Step 1: Find the prime factorization of 313419

313419 = 3 x 104473

Step 2: Find the prime factorization of 313426

313426 = 2 x 67 x 2339

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

LCM = 98233663494 = 2 x 3 x 67 x 2339 x 104473

Step 4: Therefore, the least common multiple of 313419 and 313426 is 98233663494.