Least Common Multiple of 308402 and 308407

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

• Least Common Multiple of 308402 and 308407 by Prime method
• Least Common Multiple of 308402 and 308407 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 308402 and 308407. First we will calculate the prime factors of 308402 and 308407.

Prime Factorization of 308402

Prime factors of 308402 are 2, 41,3761. Prime factorization of 308402 in exponential form is:

308402 = 2¹×41¹×3761¹

Prime Factorization of 308407

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

308407 = 11¹×23²×53¹

Now multiplying the highest exponent prime factors to calculate the LCM of 308402 and 308407.

LCM(308402,308407) = 2¹×11¹×23²×41¹×53¹×3761¹
LCM(308402,308407) = 95113335614

Factors of 308402

List of positive integer factors of 308402 that divides 308402 without a remainder.

1, 2, 41, 82, 3761, 7522, 154201, 308402

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

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 308402 and 308407, than apply into the LCM equation.

GCF(308402,308407) = 1
LCM(308402,308407) = ( 308402 × 308407) / 1
LCM(308402,308407) = 95113335614 / 1
LCM(308402,308407) = 95113335614

(i) The LCM of 308407 and 308402 is associative

LCM of 308402 and 308407 = LCM of 308407 and 308402

1. What is the LCM of 308402 and 308407?

Answer: LCM of 308402 and 308407 is 95113335614.

2. What are the Factors of 308402?

Answer: Factors of 308402 are 1, 2, 41, 82, 3761, 7522, 154201, 308402. There are 8 integers that are factors of 308402. The greatest factor of 308402 is 308402.

3. 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.

4. How to Find the LCM of 308402 and 308407?

Answer:

Least Common Multiple of 308402 and 308407 = 95113335614

Step 1: Find the prime factorization of 308402

308402 = 2 x 41 x 3761

Step 2: Find the prime factorization of 308407

308407 = 11 x 23 x 23 x 53

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

LCM = 95113335614 = 2 x 11 x 23 x 23 x 41 x 53 x 3761

Step 4: Therefore, the least common multiple of 308402 and 308407 is 95113335614.