Least Common Multiple of 315430 and 315434

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

• Least Common Multiple of 315430 and 315434 by Prime method
• Least Common Multiple of 315430 and 315434 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 315430 and 315434. First we will calculate the prime factors of 315430 and 315434.

Prime Factorization of 315430

Prime factors of 315430 are 2, 5,31543. Prime factorization of 315430 in exponential form is:

315430 = 2¹×5¹×31543¹

Prime Factorization of 315434

Prime factors of 315434 are 2, 7,22531. Prime factorization of 315434 in exponential form is:

315434 = 2¹×7¹×22531¹

Now multiplying the highest exponent prime factors to calculate the LCM of 315430 and 315434.

LCM(315430,315434) = 2¹×5¹×7¹×22531¹×31543¹
LCM(315430,315434) = 49748673310

Factors of 315430

List of positive integer factors of 315430 that divides 315430 without a remainder.

1, 2, 5, 10, 31543, 63086, 157715, 315430

Factors of 315434

List of positive integer factors of 315434 that divides 315434 without a remainder.

1, 2, 7, 14, 22531, 45062, 157717, 315434

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 315430 and 315434, than apply into the LCM equation.

GCF(315430,315434) = 2
LCM(315430,315434) = ( 315430 × 315434) / 2
LCM(315430,315434) = 99497346620 / 2
LCM(315430,315434) = 49748673310

(i) The LCM of 315434 and 315430 is associative

LCM of 315430 and 315434 = LCM of 315434 and 315430

1. What is the LCM of 315430 and 315434?

Answer: LCM of 315430 and 315434 is 49748673310.

2. What are the Factors of 315430?

Answer: Factors of 315430 are 1, 2, 5, 10, 31543, 63086, 157715, 315430. There are 8 integers that are factors of 315430. The greatest factor of 315430 is 315430.

3. What are the Factors of 315434?

Answer: Factors of 315434 are 1, 2, 7, 14, 22531, 45062, 157717, 315434. There are 8 integers that are factors of 315434. The greatest factor of 315434 is 315434.

4. How to Find the LCM of 315430 and 315434?

Answer:

Least Common Multiple of 315430 and 315434 = 49748673310

Step 1: Find the prime factorization of 315430

315430 = 2 x 5 x 31543

Step 2: Find the prime factorization of 315434

315434 = 2 x 7 x 22531

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

LCM = 49748673310 = 2 x 5 x 7 x 22531 x 31543

Step 4: Therefore, the least common multiple of 315430 and 315434 is 49748673310.