Least Common Multiple of 307403 and 307411

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

• Least Common Multiple of 307403 and 307411 by Prime method
• Least Common Multiple of 307403 and 307411 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 307403 and 307411. First we will calculate the prime factors of 307403 and 307411.

Prime Factorization of 307403

Prime factors of 307403 are 73,4211. Prime factorization of 307403 in exponential form is:

307403 = 73¹×4211¹

Prime Factorization of 307411

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

307411 = 13²×17¹×107¹

Now multiplying the highest exponent prime factors to calculate the LCM of 307403 and 307411.

LCM(307403,307411) = 13²×17¹×73¹×107¹×4211¹
LCM(307403,307411) = 94499063633

Factors of 307403

List of positive integer factors of 307403 that divides 307403 without a remainder.

1, 73, 4211, 307403

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

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 307403 and 307411, than apply into the LCM equation.

GCF(307403,307411) = 1
LCM(307403,307411) = ( 307403 × 307411) / 1
LCM(307403,307411) = 94499063633 / 1
LCM(307403,307411) = 94499063633

(i) The LCM of 307411 and 307403 is associative

LCM of 307403 and 307411 = LCM of 307411 and 307403

1. What is the LCM of 307403 and 307411?

Answer: LCM of 307403 and 307411 is 94499063633.

2. What are the Factors of 307403?

Answer: Factors of 307403 are 1, 73, 4211, 307403. There are 4 integers that are factors of 307403. The greatest factor of 307403 is 307403.

3. 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.

4. How to Find the LCM of 307403 and 307411?

Answer:

Least Common Multiple of 307403 and 307411 = 94499063633

Step 1: Find the prime factorization of 307403

307403 = 73 x 4211

Step 2: Find the prime factorization of 307411

307411 = 13 x 13 x 17 x 107

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

LCM = 94499063633 = 13 x 13 x 17 x 73 x 107 x 4211

Step 4: Therefore, the least common multiple of 307403 and 307411 is 94499063633.