Least Common Multiple of 307405 and 307411

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

• Least Common Multiple of 307405 and 307411 by Prime method
• Least Common Multiple of 307405 and 307411 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 307405 and 307411. First we will calculate the prime factors of 307405 and 307411.

Prime Factorization of 307405

Prime factors of 307405 are 5, 7,8783. Prime factorization of 307405 in exponential form is:

307405 = 5¹×7¹×8783¹

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 307405 and 307411.

LCM(307405,307411) = 5¹×7¹×13²×17¹×107¹×8783¹
LCM(307405,307411) = 94499678455

Factors of 307405

List of positive integer factors of 307405 that divides 307405 without a remainder.

1, 5, 7, 35, 8783, 43915, 61481, 307405

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 307405 and 307411, than apply into the LCM equation.

GCF(307405,307411) = 1
LCM(307405,307411) = ( 307405 × 307411) / 1
LCM(307405,307411) = 94499678455 / 1
LCM(307405,307411) = 94499678455

(i) The LCM of 307411 and 307405 is associative

LCM of 307405 and 307411 = LCM of 307411 and 307405

1. What is the LCM of 307405 and 307411?

Answer: LCM of 307405 and 307411 is 94499678455.

2. What are the Factors of 307405?

Answer: Factors of 307405 are 1, 5, 7, 35, 8783, 43915, 61481, 307405. There are 8 integers that are factors of 307405. The greatest factor of 307405 is 307405.

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 307405 and 307411?

Answer:

Least Common Multiple of 307405 and 307411 = 94499678455

Step 1: Find the prime factorization of 307405

307405 = 5 x 7 x 8783

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 = 94499678455 = 5 x 7 x 13 x 13 x 17 x 107 x 8783

Step 4: Therefore, the least common multiple of 307405 and 307411 is 94499678455.