Least Common Multiple of 310430 and 310433

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

• Least Common Multiple of 310430 and 310433 by Prime method
• Least Common Multiple of 310430 and 310433 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 310430 and 310433. First we will calculate the prime factors of 310430 and 310433.

Prime Factorization of 310430

Prime factors of 310430 are 2, 5, 37,839. Prime factorization of 310430 in exponential form is:

310430 = 2¹×5¹×37¹×839¹

Prime Factorization of 310433

Prime factors of 310433 are 310433. Prime factorization of 310433 in exponential form is:

310433 = 310433¹

Now multiplying the highest exponent prime factors to calculate the LCM of 310430 and 310433.

LCM(310430,310433) = 2¹×5¹×37¹×839¹×310433¹
LCM(310430,310433) = 96367716190

Factors of 310430

List of positive integer factors of 310430 that divides 310430 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370, 839, 1678, 4195, 8390, 31043, 62086, 155215, 310430

Factors of 310433

List of positive integer factors of 310433 that divides 310433 without a remainder.

1, 310433

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 310430 and 310433, than apply into the LCM equation.

GCF(310430,310433) = 1
LCM(310430,310433) = ( 310430 × 310433) / 1
LCM(310430,310433) = 96367716190 / 1
LCM(310430,310433) = 96367716190

(i) The LCM of 310433 and 310430 is associative

LCM of 310430 and 310433 = LCM of 310433 and 310430

1. What is the LCM of 310430 and 310433?

Answer: LCM of 310430 and 310433 is 96367716190.

2. What are the Factors of 310430?

Answer: Factors of 310430 are 1, 2, 5, 10, 37, 74, 185, 370, 839, 1678, 4195, 8390, 31043, 62086, 155215, 310430. There are 16 integers that are factors of 310430. The greatest factor of 310430 is 310430.

3. What are the Factors of 310433?

Answer: Factors of 310433 are 1, 310433. There are 2 integers that are factors of 310433. The greatest factor of 310433 is 310433.

4. How to Find the LCM of 310430 and 310433?

Answer:

Least Common Multiple of 310430 and 310433 = 96367716190

Step 1: Find the prime factorization of 310430

310430 = 2 x 5 x 37 x 839

Step 2: Find the prime factorization of 310433

310433 = 310433

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

LCM = 96367716190 = 2 x 5 x 37 x 839 x 310433

Step 4: Therefore, the least common multiple of 310430 and 310433 is 96367716190.