Least Common Multiple of 306435 and 306442

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

• Least Common Multiple of 306435 and 306442 by Prime method
• Least Common Multiple of 306435 and 306442 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 306435 and 306442. First we will calculate the prime factors of 306435 and 306442.

Prime Factorization of 306435

Prime factors of 306435 are 3, 5, 31,659. Prime factorization of 306435 in exponential form is:

306435 = 3¹×5¹×31¹×659¹

Prime Factorization of 306442

Prime factors of 306442 are 2, 17,9013. Prime factorization of 306442 in exponential form is:

306442 = 2¹×17¹×9013¹

Now multiplying the highest exponent prime factors to calculate the LCM of 306435 and 306442.

LCM(306435,306442) = 2¹×3¹×5¹×17¹×31¹×659¹×9013¹
LCM(306435,306442) = 93904554270

Factors of 306435

List of positive integer factors of 306435 that divides 306435 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465, 659, 1977, 3295, 9885, 20429, 61287, 102145, 306435

Factors of 306442

List of positive integer factors of 306442 that divides 306442 without a remainder.

1, 2, 17, 34, 9013, 18026, 153221, 306442

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 306435 and 306442, than apply into the LCM equation.

GCF(306435,306442) = 1
LCM(306435,306442) = ( 306435 × 306442) / 1
LCM(306435,306442) = 93904554270 / 1
LCM(306435,306442) = 93904554270

(i) The LCM of 306442 and 306435 is associative

LCM of 306435 and 306442 = LCM of 306442 and 306435

1. What is the LCM of 306435 and 306442?

Answer: LCM of 306435 and 306442 is 93904554270.

2. What are the Factors of 306435?

Answer: Factors of 306435 are 1, 3, 5, 15, 31, 93, 155, 465, 659, 1977, 3295, 9885, 20429, 61287, 102145, 306435. There are 16 integers that are factors of 306435. The greatest factor of 306435 is 306435.

3. What are the Factors of 306442?

Answer: Factors of 306442 are 1, 2, 17, 34, 9013, 18026, 153221, 306442. There are 8 integers that are factors of 306442. The greatest factor of 306442 is 306442.

4. How to Find the LCM of 306435 and 306442?

Answer:

Least Common Multiple of 306435 and 306442 = 93904554270

Step 1: Find the prime factorization of 306435

306435 = 3 x 5 x 31 x 659

Step 2: Find the prime factorization of 306442

306442 = 2 x 17 x 9013

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

LCM = 93904554270 = 2 x 3 x 5 x 17 x 31 x 659 x 9013

Step 4: Therefore, the least common multiple of 306435 and 306442 is 93904554270.