Least Common Multiple of 307411 and 307417

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

• Least Common Multiple of 307411 and 307417 by Prime method
• Least Common Multiple of 307411 and 307417 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 307411 and 307417. First we will calculate the prime factors of 307411 and 307417.

Prime Factorization of 307411

Prime factors of 307411 are 13, 17,107. Prime factorization of 307411 in exponential form is:

307411 = 13²×17¹×107¹

Prime Factorization of 307417

Prime factors of 307417 are 11,27947. Prime factorization of 307417 in exponential form is:

307417 = 11¹×27947¹

Now multiplying the highest exponent prime factors to calculate the LCM of 307411 and 307417.

LCM(307411,307417) = 11¹×13²×17¹×107¹×27947¹
LCM(307411,307417) = 94503367387

Factors of 307411

List of positive integer factors of 307411 that divides 307411 without a remainder.

1, 13, 17, 107, 169, 221, 1391, 1819, 2873, 18083, 23647, 307411

Factors of 307417

List of positive integer factors of 307417 that divides 307417 without a remainder.

1, 11, 27947, 307417

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 307411 and 307417, than apply into the LCM equation.

GCF(307411,307417) = 1
LCM(307411,307417) = ( 307411 × 307417) / 1
LCM(307411,307417) = 94503367387 / 1
LCM(307411,307417) = 94503367387

(i) The LCM of 307417 and 307411 is associative

LCM of 307411 and 307417 = LCM of 307417 and 307411

1. What is the LCM of 307411 and 307417?

Answer: LCM of 307411 and 307417 is 94503367387.

2. What are the Factors of 307411?

Answer: Factors of 307411 are 1, 13, 17, 107, 169, 221, 1391, 1819, 2873, 18083, 23647, 307411. There are 12 integers that are factors of 307411. The greatest factor of 307411 is 307411.

3. What are the Factors of 307417?

Answer: Factors of 307417 are 1, 11, 27947, 307417. There are 4 integers that are factors of 307417. The greatest factor of 307417 is 307417.

4. How to Find the LCM of 307411 and 307417?

Answer:

Least Common Multiple of 307411 and 307417 = 94503367387

Step 1: Find the prime factorization of 307411

307411 = 13 x 13 x 17 x 107

Step 2: Find the prime factorization of 307417

307417 = 11 x 27947

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

LCM = 94503367387 = 11 x 13 x 13 x 17 x 107 x 27947

Step 4: Therefore, the least common multiple of 307411 and 307417 is 94503367387.