Least Common Multiple of 306429 and 306434

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

• Least Common Multiple of 306429 and 306434 by Prime method
• Least Common Multiple of 306429 and 306434 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 306429 and 306434. First we will calculate the prime factors of 306429 and 306434.

Prime Factorization of 306429

Prime factors of 306429 are 3, 23,4441. Prime factorization of 306429 in exponential form is:

306429 = 3¹×23¹×4441¹

Prime Factorization of 306434

Prime factors of 306434 are 2, 37, 41,101. Prime factorization of 306434 in exponential form is:

306434 = 2¹×37¹×41¹×101¹

Now multiplying the highest exponent prime factors to calculate the LCM of 306429 and 306434.

LCM(306429,306434) = 2¹×3¹×23¹×37¹×41¹×101¹×4441¹
LCM(306429,306434) = 93900264186

Factors of 306429

List of positive integer factors of 306429 that divides 306429 without a remainder.

1, 3, 23, 69, 4441, 13323, 102143, 306429

Factors of 306434

List of positive integer factors of 306434 that divides 306434 without a remainder.

1, 2, 37, 41, 74, 82, 101, 202, 1517, 3034, 3737, 4141, 7474, 8282, 153217, 306434

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 306429 and 306434, than apply into the LCM equation.

GCF(306429,306434) = 1
LCM(306429,306434) = ( 306429 × 306434) / 1
LCM(306429,306434) = 93900264186 / 1
LCM(306429,306434) = 93900264186

(i) The LCM of 306434 and 306429 is associative

LCM of 306429 and 306434 = LCM of 306434 and 306429

1. What is the LCM of 306429 and 306434?

Answer: LCM of 306429 and 306434 is 93900264186.

2. What are the Factors of 306429?

Answer: Factors of 306429 are 1, 3, 23, 69, 4441, 13323, 102143, 306429. There are 8 integers that are factors of 306429. The greatest factor of 306429 is 306429.

3. What are the Factors of 306434?

Answer: Factors of 306434 are 1, 2, 37, 41, 74, 82, 101, 202, 1517, 3034, 3737, 4141, 7474, 8282, 153217, 306434. There are 16 integers that are factors of 306434. The greatest factor of 306434 is 306434.

4. How to Find the LCM of 306429 and 306434?

Answer:

Least Common Multiple of 306429 and 306434 = 93900264186

Step 1: Find the prime factorization of 306429

306429 = 3 x 23 x 4441

Step 2: Find the prime factorization of 306434

306434 = 2 x 37 x 41 x 101

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

LCM = 93900264186 = 2 x 3 x 23 x 37 x 41 x 101 x 4441

Step 4: Therefore, the least common multiple of 306429 and 306434 is 93900264186.