Least Common Multiple of 310463 and 310470

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

• Least Common Multiple of 310463 and 310470 by Prime method
• Least Common Multiple of 310463 and 310470 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 310463 and 310470. First we will calculate the prime factors of 310463 and 310470.

Prime Factorization of 310463

Prime factors of 310463 are 310463. Prime factorization of 310463 in exponential form is:

310463 = 310463¹

Prime Factorization of 310470

Prime factors of 310470 are 2, 3, 5, 79,131. Prime factorization of 310470 in exponential form is:

310470 = 2¹×3¹×5¹×79¹×131¹

Now multiplying the highest exponent prime factors to calculate the LCM of 310463 and 310470.

LCM(310463,310470) = 2¹×3¹×5¹×79¹×131¹×310463¹
LCM(310463,310470) = 96389447610

Factors of 310463

List of positive integer factors of 310463 that divides 310463 without a remainder.

1, 310463

Factors of 310470

List of positive integer factors of 310470 that divides 310470 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 79, 131, 158, 237, 262, 393, 395, 474, 655, 786, 790, 1185, 1310, 1965, 2370, 3930, 10349, 20698, 31047, 51745, 62094, 103490, 155235, 310470

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 310463 and 310470, than apply into the LCM equation.

GCF(310463,310470) = 1
LCM(310463,310470) = ( 310463 × 310470) / 1
LCM(310463,310470) = 96389447610 / 1
LCM(310463,310470) = 96389447610

(i) The LCM of 310470 and 310463 is associative

LCM of 310463 and 310470 = LCM of 310470 and 310463

1. What is the LCM of 310463 and 310470?

Answer: LCM of 310463 and 310470 is 96389447610.

2. What are the Factors of 310463?

Answer: Factors of 310463 are 1, 310463. There are 2 integers that are factors of 310463. The greatest factor of 310463 is 310463.

3. What are the Factors of 310470?

Answer: Factors of 310470 are 1, 2, 3, 5, 6, 10, 15, 30, 79, 131, 158, 237, 262, 393, 395, 474, 655, 786, 790, 1185, 1310, 1965, 2370, 3930, 10349, 20698, 31047, 51745, 62094, 103490, 155235, 310470. There are 32 integers that are factors of 310470. The greatest factor of 310470 is 310470.

4. How to Find the LCM of 310463 and 310470?

Answer:

Least Common Multiple of 310463 and 310470 = 96389447610

Step 1: Find the prime factorization of 310463

310463 = 310463

Step 2: Find the prime factorization of 310470

310470 = 2 x 3 x 5 x 79 x 131

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

LCM = 96389447610 = 2 x 3 x 5 x 79 x 131 x 310463

Step 4: Therefore, the least common multiple of 310463 and 310470 is 96389447610.