Least Common Multiple of 310458 and 310463

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

• Least Common Multiple of 310458 and 310463 by Prime method
• Least Common Multiple of 310458 and 310463 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 310458 and 310463. First we will calculate the prime factors of 310458 and 310463.

Prime Factorization of 310458

Prime factors of 310458 are 2, 3, 59,877. Prime factorization of 310458 in exponential form is:

310458 = 2¹×3¹×59¹×877¹

Prime Factorization of 310463

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

310463 = 310463¹

Now multiplying the highest exponent prime factors to calculate the LCM of 310458 and 310463.

LCM(310458,310463) = 2¹×3¹×59¹×877¹×310463¹
LCM(310458,310463) = 96385722054

Factors of 310458

List of positive integer factors of 310458 that divides 310458 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354, 877, 1754, 2631, 5262, 51743, 103486, 155229, 310458

Factors of 310463

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

1, 310463

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 310458 and 310463, than apply into the LCM equation.

GCF(310458,310463) = 1
LCM(310458,310463) = ( 310458 × 310463) / 1
LCM(310458,310463) = 96385722054 / 1
LCM(310458,310463) = 96385722054

(i) The LCM of 310463 and 310458 is associative

LCM of 310458 and 310463 = LCM of 310463 and 310458

1. What is the LCM of 310458 and 310463?

Answer: LCM of 310458 and 310463 is 96385722054.

2. What are the Factors of 310458?

Answer: Factors of 310458 are 1, 2, 3, 6, 59, 118, 177, 354, 877, 1754, 2631, 5262, 51743, 103486, 155229, 310458. There are 16 integers that are factors of 310458. The greatest factor of 310458 is 310458.

3. 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.

4. How to Find the LCM of 310458 and 310463?

Answer:

Least Common Multiple of 310458 and 310463 = 96385722054

Step 1: Find the prime factorization of 310458

310458 = 2 x 3 x 59 x 877

Step 2: Find the prime factorization of 310463

310463 = 310463

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

LCM = 96385722054 = 2 x 3 x 59 x 877 x 310463

Step 4: Therefore, the least common multiple of 310458 and 310463 is 96385722054.