Least Common Multiple of 309421 and 309428

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

• Least Common Multiple of 309421 and 309428 by Prime method
• Least Common Multiple of 309421 and 309428 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 309421 and 309428. First we will calculate the prime factors of 309421 and 309428.

Prime Factorization of 309421

Prime factors of 309421 are 7,44203. Prime factorization of 309421 in exponential form is:

309421 = 7¹×44203¹

Prime Factorization of 309428

Prime factors of 309428 are 2, 7, 43,257. Prime factorization of 309428 in exponential form is:

309428 = 2²×7¹×43¹×257¹

Now multiplying the highest exponent prime factors to calculate the LCM of 309421 and 309428.

LCM(309421,309428) = 2²×7¹×43¹×257¹×44203¹
LCM(309421,309428) = 13677645884

Factors of 309421

List of positive integer factors of 309421 that divides 309421 without a remainder.

1, 7, 44203, 309421

Factors of 309428

List of positive integer factors of 309428 that divides 309428 without a remainder.

1, 2, 4, 7, 14, 28, 43, 86, 172, 257, 301, 514, 602, 1028, 1204, 1799, 3598, 7196, 11051, 22102, 44204, 77357, 154714, 309428

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 309421 and 309428, than apply into the LCM equation.

GCF(309421,309428) = 7
LCM(309421,309428) = ( 309421 × 309428) / 7
LCM(309421,309428) = 95743521188 / 7
LCM(309421,309428) = 13677645884

(i) The LCM of 309428 and 309421 is associative

LCM of 309421 and 309428 = LCM of 309428 and 309421

1. What is the LCM of 309421 and 309428?

Answer: LCM of 309421 and 309428 is 13677645884.

2. What are the Factors of 309421?

Answer: Factors of 309421 are 1, 7, 44203, 309421. There are 4 integers that are factors of 309421. The greatest factor of 309421 is 309421.

3. What are the Factors of 309428?

Answer: Factors of 309428 are 1, 2, 4, 7, 14, 28, 43, 86, 172, 257, 301, 514, 602, 1028, 1204, 1799, 3598, 7196, 11051, 22102, 44204, 77357, 154714, 309428. There are 24 integers that are factors of 309428. The greatest factor of 309428 is 309428.

4. How to Find the LCM of 309421 and 309428?

Answer:

Least Common Multiple of 309421 and 309428 = 13677645884

Step 1: Find the prime factorization of 309421

309421 = 7 x 44203

Step 2: Find the prime factorization of 309428

309428 = 2 x 2 x 7 x 43 x 257

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

LCM = 13677645884 = 2 x 2 x 7 x 43 x 257 x 44203

Step 4: Therefore, the least common multiple of 309421 and 309428 is 13677645884.