Least Common Multiple of 307406 and 307413

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

• Least Common Multiple of 307406 and 307413 by Prime method
• Least Common Multiple of 307406 and 307413 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 307406 and 307413. First we will calculate the prime factors of 307406 and 307413.

Prime Factorization of 307406

Prime factors of 307406 are 2, 11, 89,157. Prime factorization of 307406 in exponential form is:

307406 = 2¹×11¹×89¹×157¹

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 307406 and 307413.

LCM(307406,307413) = 2¹×3²×11¹×89¹×157¹×34157¹
LCM(307406,307413) = 94500600678

Factors of 307406

List of positive integer factors of 307406 that divides 307406 without a remainder.

1, 2, 11, 22, 89, 157, 178, 314, 979, 1727, 1958, 3454, 13973, 27946, 153703, 307406

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 307406 and 307413, than apply into the LCM equation.

GCF(307406,307413) = 1
LCM(307406,307413) = ( 307406 × 307413) / 1
LCM(307406,307413) = 94500600678 / 1
LCM(307406,307413) = 94500600678

(i) The LCM of 307413 and 307406 is associative

LCM of 307406 and 307413 = LCM of 307413 and 307406

1. What is the LCM of 307406 and 307413?

Answer: LCM of 307406 and 307413 is 94500600678.

2. What are the Factors of 307406?

Answer: Factors of 307406 are 1, 2, 11, 22, 89, 157, 178, 314, 979, 1727, 1958, 3454, 13973, 27946, 153703, 307406. There are 16 integers that are factors of 307406. The greatest factor of 307406 is 307406.

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 307406 and 307413?

Answer:

Least Common Multiple of 307406 and 307413 = 94500600678

Step 1: Find the prime factorization of 307406

307406 = 2 x 11 x 89 x 157

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 = 94500600678 = 2 x 3 x 3 x 11 x 89 x 157 x 34157

Step 4: Therefore, the least common multiple of 307406 and 307413 is 94500600678.