Least Common Multiple of 306411 and 306418

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

• Least Common Multiple of 306411 and 306418 by Prime method
• Least Common Multiple of 306411 and 306418 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 306411 and 306418. First we will calculate the prime factors of 306411 and 306418.

Prime Factorization of 306411

Prime factors of 306411 are 3, 7,14591. Prime factorization of 306411 in exponential form is:

306411 = 3¹×7¹×14591¹

Prime Factorization of 306418

Prime factors of 306418 are 2, 7, 43,509. Prime factorization of 306418 in exponential form is:

306418 = 2¹×7¹×43¹×509¹

Now multiplying the highest exponent prime factors to calculate the LCM of 306411 and 306418.

LCM(306411,306418) = 2¹×3¹×7¹×43¹×509¹×14591¹
LCM(306411,306418) = 13412835114

Factors of 306411

List of positive integer factors of 306411 that divides 306411 without a remainder.

1, 3, 7, 21, 14591, 43773, 102137, 306411

Factors of 306418

List of positive integer factors of 306418 that divides 306418 without a remainder.

1, 2, 7, 14, 43, 86, 301, 509, 602, 1018, 3563, 7126, 21887, 43774, 153209, 306418

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 306411 and 306418, than apply into the LCM equation.

GCF(306411,306418) = 7
LCM(306411,306418) = ( 306411 × 306418) / 7
LCM(306411,306418) = 93889845798 / 7
LCM(306411,306418) = 13412835114

(i) The LCM of 306418 and 306411 is associative

LCM of 306411 and 306418 = LCM of 306418 and 306411

1. What is the LCM of 306411 and 306418?

Answer: LCM of 306411 and 306418 is 13412835114.

2. What are the Factors of 306411?

Answer: Factors of 306411 are 1, 3, 7, 21, 14591, 43773, 102137, 306411. There are 8 integers that are factors of 306411. The greatest factor of 306411 is 306411.

3. What are the Factors of 306418?

Answer: Factors of 306418 are 1, 2, 7, 14, 43, 86, 301, 509, 602, 1018, 3563, 7126, 21887, 43774, 153209, 306418. There are 16 integers that are factors of 306418. The greatest factor of 306418 is 306418.

4. How to Find the LCM of 306411 and 306418?

Answer:

Least Common Multiple of 306411 and 306418 = 13412835114

Step 1: Find the prime factorization of 306411

306411 = 3 x 7 x 14591

Step 2: Find the prime factorization of 306418

306418 = 2 x 7 x 43 x 509

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

LCM = 13412835114 = 2 x 3 x 7 x 43 x 509 x 14591

Step 4: Therefore, the least common multiple of 306411 and 306418 is 13412835114.