Least Common Multiple of 307405 and 307413

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

• Least Common Multiple of 307405 and 307413 by Prime method
• Least Common Multiple of 307405 and 307413 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 307405 and 307413. First we will calculate the prime factors of 307405 and 307413.

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 307413

Prime factors of 307413 are 3,34157. Prime factorization of 307413 in exponential form is:

307413 = 3²×34157¹

Now multiplying the highest exponent prime factors to calculate the LCM of 307405 and 307413.

LCM(307405,307413) = 3²×5¹×7¹×8783¹×34157¹
LCM(307405,307413) = 94500293265

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 307413

List of positive integer factors of 307413 that divides 307413 without a remainder.

1, 3, 9, 34157, 102471, 307413

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 307405 and 307413, than apply into the LCM equation.

GCF(307405,307413) = 1
LCM(307405,307413) = ( 307405 × 307413) / 1
LCM(307405,307413) = 94500293265 / 1
LCM(307405,307413) = 94500293265

(i) The LCM of 307413 and 307405 is associative

LCM of 307405 and 307413 = LCM of 307413 and 307405

1. What is the LCM of 307405 and 307413?

Answer: LCM of 307405 and 307413 is 94500293265.

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 307413?

Answer: Factors of 307413 are 1, 3, 9, 34157, 102471, 307413. There are 6 integers that are factors of 307413. The greatest factor of 307413 is 307413.

4. How to Find the LCM of 307405 and 307413?

Answer:

Least Common Multiple of 307405 and 307413 = 94500293265

Step 1: Find the prime factorization of 307405

307405 = 5 x 7 x 8783

Step 2: Find the prime factorization of 307413

307413 = 3 x 3 x 34157

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

LCM = 94500293265 = 3 x 3 x 5 x 7 x 8783 x 34157

Step 4: Therefore, the least common multiple of 307405 and 307413 is 94500293265.