Least Common Multiple of 306426 and 306434

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

• Least Common Multiple of 306426 and 306434 by Prime method
• Least Common Multiple of 306426 and 306434 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 306426 and 306434. First we will calculate the prime factors of 306426 and 306434.

Prime Factorization of 306426

Prime factors of 306426 are 2, 3,51071. Prime factorization of 306426 in exponential form is:

306426 = 2¹×3¹×51071¹

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 306426 and 306434.

LCM(306426,306434) = 2¹×3¹×37¹×41¹×101¹×51071¹
LCM(306426,306434) = 46949672442

Factors of 306426

List of positive integer factors of 306426 that divides 306426 without a remainder.

1, 2, 3, 6, 51071, 102142, 153213, 306426

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 306426 and 306434, than apply into the LCM equation.

GCF(306426,306434) = 2
LCM(306426,306434) = ( 306426 × 306434) / 2
LCM(306426,306434) = 93899344884 / 2
LCM(306426,306434) = 46949672442

(i) The LCM of 306434 and 306426 is associative

LCM of 306426 and 306434 = LCM of 306434 and 306426

1. What is the LCM of 306426 and 306434?

Answer: LCM of 306426 and 306434 is 46949672442.

2. What are the Factors of 306426?

Answer: Factors of 306426 are 1, 2, 3, 6, 51071, 102142, 153213, 306426. There are 8 integers that are factors of 306426. The greatest factor of 306426 is 306426.

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 306426 and 306434?

Answer:

Least Common Multiple of 306426 and 306434 = 46949672442

Step 1: Find the prime factorization of 306426

306426 = 2 x 3 x 51071

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 = 46949672442 = 2 x 3 x 37 x 41 x 101 x 51071

Step 4: Therefore, the least common multiple of 306426 and 306434 is 46949672442.