Least Common Multiple of 310442 and 310449

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

• Least Common Multiple of 310442 and 310449 by Prime method
• Least Common Multiple of 310442 and 310449 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 310442 and 310449. First we will calculate the prime factors of 310442 and 310449.

Prime Factorization of 310442

Prime factors of 310442 are 2, 11, 103,137. Prime factorization of 310442 in exponential form is:

310442 = 2¹×11¹×103¹×137¹

Prime Factorization of 310449

Prime factors of 310449 are 3,103483. Prime factorization of 310449 in exponential form is:

310449 = 3¹×103483¹

Now multiplying the highest exponent prime factors to calculate the LCM of 310442 and 310449.

LCM(310442,310449) = 2¹×3¹×11¹×103¹×137¹×103483¹
LCM(310442,310449) = 96376408458

Factors of 310442

List of positive integer factors of 310442 that divides 310442 without a remainder.

1, 2, 11, 22, 103, 137, 206, 274, 1133, 1507, 2266, 3014, 14111, 28222, 155221, 310442

Factors of 310449

List of positive integer factors of 310449 that divides 310449 without a remainder.

1, 3, 103483, 310449

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 310442 and 310449, than apply into the LCM equation.

GCF(310442,310449) = 1
LCM(310442,310449) = ( 310442 × 310449) / 1
LCM(310442,310449) = 96376408458 / 1
LCM(310442,310449) = 96376408458

(i) The LCM of 310449 and 310442 is associative

LCM of 310442 and 310449 = LCM of 310449 and 310442

1. What is the LCM of 310442 and 310449?

Answer: LCM of 310442 and 310449 is 96376408458.

2. What are the Factors of 310442?

Answer: Factors of 310442 are 1, 2, 11, 22, 103, 137, 206, 274, 1133, 1507, 2266, 3014, 14111, 28222, 155221, 310442. There are 16 integers that are factors of 310442. The greatest factor of 310442 is 310442.

3. What are the Factors of 310449?

Answer: Factors of 310449 are 1, 3, 103483, 310449. There are 4 integers that are factors of 310449. The greatest factor of 310449 is 310449.

4. How to Find the LCM of 310442 and 310449?

Answer:

Least Common Multiple of 310442 and 310449 = 96376408458

Step 1: Find the prime factorization of 310442

310442 = 2 x 11 x 103 x 137

Step 2: Find the prime factorization of 310449

310449 = 3 x 103483

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

LCM = 96376408458 = 2 x 3 x 11 x 103 x 137 x 103483

Step 4: Therefore, the least common multiple of 310442 and 310449 is 96376408458.