Least Common Multiple of 306414 and 306421

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

• Least Common Multiple of 306414 and 306421 by Prime method
• Least Common Multiple of 306414 and 306421 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 306414 and 306421. First we will calculate the prime factors of 306414 and 306421.

Prime Factorization of 306414

Prime factors of 306414 are 2, 3, 29,587. Prime factorization of 306414 in exponential form is:

306414 = 2¹×3²×29¹×587¹

Prime Factorization of 306421

Prime factors of 306421 are 306421. Prime factorization of 306421 in exponential form is:

306421 = 306421¹

Now multiplying the highest exponent prime factors to calculate the LCM of 306414 and 306421.

LCM(306414,306421) = 2¹×3²×29¹×587¹×306421¹
LCM(306414,306421) = 93891684294

Factors of 306414

List of positive integer factors of 306414 that divides 306414 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522, 587, 1174, 1761, 3522, 5283, 10566, 17023, 34046, 51069, 102138, 153207, 306414

Factors of 306421

List of positive integer factors of 306421 that divides 306421 without a remainder.

1, 306421

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 306414 and 306421, than apply into the LCM equation.

GCF(306414,306421) = 1
LCM(306414,306421) = ( 306414 × 306421) / 1
LCM(306414,306421) = 93891684294 / 1
LCM(306414,306421) = 93891684294

(i) The LCM of 306421 and 306414 is associative

LCM of 306414 and 306421 = LCM of 306421 and 306414

1. What is the LCM of 306414 and 306421?

Answer: LCM of 306414 and 306421 is 93891684294.

2. What are the Factors of 306414?

Answer: Factors of 306414 are 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522, 587, 1174, 1761, 3522, 5283, 10566, 17023, 34046, 51069, 102138, 153207, 306414. There are 24 integers that are factors of 306414. The greatest factor of 306414 is 306414.

3. What are the Factors of 306421?

Answer: Factors of 306421 are 1, 306421. There are 2 integers that are factors of 306421. The greatest factor of 306421 is 306421.

4. How to Find the LCM of 306414 and 306421?

Answer:

Least Common Multiple of 306414 and 306421 = 93891684294

Step 1: Find the prime factorization of 306414

306414 = 2 x 3 x 3 x 29 x 587

Step 2: Find the prime factorization of 306421

306421 = 306421

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

LCM = 93891684294 = 2 x 3 x 3 x 29 x 587 x 306421

Step 4: Therefore, the least common multiple of 306414 and 306421 is 93891684294.