Least Common Multiple of 310410 and 310417

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

• Least Common Multiple of 310410 and 310417 by Prime method
• Least Common Multiple of 310410 and 310417 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 310410 and 310417. First we will calculate the prime factors of 310410 and 310417.

Prime Factorization of 310410

Prime factors of 310410 are 2, 3, 5,3449. Prime factorization of 310410 in exponential form is:

310410 = 2¹×3²×5¹×3449¹

Prime Factorization of 310417

Prime factors of 310417 are 43,7219. Prime factorization of 310417 in exponential form is:

310417 = 43¹×7219¹

Now multiplying the highest exponent prime factors to calculate the LCM of 310410 and 310417.

LCM(310410,310417) = 2¹×3²×5¹×43¹×3449¹×7219¹
LCM(310410,310417) = 96356540970

Factors of 310410

List of positive integer factors of 310410 that divides 310410 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 3449, 6898, 10347, 17245, 20694, 31041, 34490, 51735, 62082, 103470, 155205, 310410

Factors of 310417

List of positive integer factors of 310417 that divides 310417 without a remainder.

1, 43, 7219, 310417

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 310410 and 310417, than apply into the LCM equation.

GCF(310410,310417) = 1
LCM(310410,310417) = ( 310410 × 310417) / 1
LCM(310410,310417) = 96356540970 / 1
LCM(310410,310417) = 96356540970

(i) The LCM of 310417 and 310410 is associative

LCM of 310410 and 310417 = LCM of 310417 and 310410

1. What is the LCM of 310410 and 310417?

Answer: LCM of 310410 and 310417 is 96356540970.

2. What are the Factors of 310410?

Answer: Factors of 310410 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 3449, 6898, 10347, 17245, 20694, 31041, 34490, 51735, 62082, 103470, 155205, 310410. There are 24 integers that are factors of 310410. The greatest factor of 310410 is 310410.

3. What are the Factors of 310417?

Answer: Factors of 310417 are 1, 43, 7219, 310417. There are 4 integers that are factors of 310417. The greatest factor of 310417 is 310417.

4. How to Find the LCM of 310410 and 310417?

Answer:

Least Common Multiple of 310410 and 310417 = 96356540970

Step 1: Find the prime factorization of 310410

310410 = 2 x 3 x 3 x 5 x 3449

Step 2: Find the prime factorization of 310417

310417 = 43 x 7219

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

LCM = 96356540970 = 2 x 3 x 3 x 5 x 43 x 3449 x 7219

Step 4: Therefore, the least common multiple of 310410 and 310417 is 96356540970.