Least Common Multiple of 308407 and 308411

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

• Least Common Multiple of 308407 and 308411 by Prime method
• Least Common Multiple of 308407 and 308411 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 308407 and 308411. First we will calculate the prime factors of 308407 and 308411.

Prime Factorization of 308407

Prime factors of 308407 are 11, 23,53. Prime factorization of 308407 in exponential form is:

308407 = 11¹×23²×53¹

Prime Factorization of 308411

Prime factors of 308411 are 308411. Prime factorization of 308411 in exponential form is:

308411 = 308411¹

Now multiplying the highest exponent prime factors to calculate the LCM of 308407 and 308411.

LCM(308407,308411) = 11¹×23²×53¹×308411¹
LCM(308407,308411) = 95116111277

Factors of 308407

List of positive integer factors of 308407 that divides 308407 without a remainder.

1, 11, 23, 53, 253, 529, 583, 1219, 5819, 13409, 28037, 308407

Factors of 308411

List of positive integer factors of 308411 that divides 308411 without a remainder.

1, 308411

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 308407 and 308411, than apply into the LCM equation.

GCF(308407,308411) = 1
LCM(308407,308411) = ( 308407 × 308411) / 1
LCM(308407,308411) = 95116111277 / 1
LCM(308407,308411) = 95116111277

(i) The LCM of 308411 and 308407 is associative

LCM of 308407 and 308411 = LCM of 308411 and 308407

1. What is the LCM of 308407 and 308411?

Answer: LCM of 308407 and 308411 is 95116111277.

2. What are the Factors of 308407?

Answer: Factors of 308407 are 1, 11, 23, 53, 253, 529, 583, 1219, 5819, 13409, 28037, 308407. There are 12 integers that are factors of 308407. The greatest factor of 308407 is 308407.

3. What are the Factors of 308411?

Answer: Factors of 308411 are 1, 308411. There are 2 integers that are factors of 308411. The greatest factor of 308411 is 308411.

4. How to Find the LCM of 308407 and 308411?

Answer:

Least Common Multiple of 308407 and 308411 = 95116111277

Step 1: Find the prime factorization of 308407

308407 = 11 x 23 x 23 x 53

Step 2: Find the prime factorization of 308411

308411 = 308411

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

LCM = 95116111277 = 11 x 23 x 23 x 53 x 308411

Step 4: Therefore, the least common multiple of 308407 and 308411 is 95116111277.